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Finding the Third Proportional to 810,206.25 and 1,746,020.63

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Solution

The third proportional to 810,206.25 and 1,746,020.63 is: 3,762,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,206.25 : 1,746,020.63 = 1,746,020.63 : x
  2. Step 2: Convert to fraction form
    810,206.25/1,746,020.63 = 1,746,020.63/x
  3. Step 3: Cross multiply
    810,206.25x = 1,746,020.63 × 1,746,020.63
  4. Step 4: Simplify right side
    810,206.25x = 3,048,588,022,925.39
  5. Step 5: Solve for x
    x = 3,048,588,022,925.39/810,206.25
  6. Step 6: Final answer
    x = 3,762,730.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.