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Finding the Third Proportional to 401,186,805.75 and 873,596,162.25

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Solution

The third proportional to 401,186,805.75 and 873,596,162.25 is: 1,902,281,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,186,805.75 : 873,596,162.25 = 873,596,162.25 : x
  2. Step 2: Convert to fraction form
    401,186,805.75/873,596,162.25 = 873,596,162.25/x
  3. Step 3: Cross multiply
    401,186,805.75x = 873,596,162.25 × 873,596,162.25
  4. Step 4: Simplify right side
    401,186,805.75x = 763,170,254,697,928,320
  5. Step 5: Solve for x
    x = 763,170,254,697,928,320/401,186,805.75
  6. Step 6: Final answer
    x = 1,902,281,540.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.