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Finding the Third Proportional to 401,187,038 and 873,596,624

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Solution

The third proportional to 401,187,038 and 873,596,624 is: 1,902,282,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,187,038 : 873,596,624 = 873,596,624 : x
  2. Step 2: Convert to fraction form
    401,187,038/873,596,624 = 873,596,624/x
  3. Step 3: Cross multiply
    401,187,038x = 873,596,624 × 873,596,624
  4. Step 4: Simplify right side
    401,187,038x = 763,171,061,464,197,376
  5. Step 5: Solve for x
    x = 763,171,061,464,197,376/401,187,038
  6. Step 6: Final answer
    x = 1,902,282,449.77

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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.