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Finding the Third Proportional to 656,210.11 and 1,012,298.13

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Solution

The third proportional to 656,210.11 and 1,012,298.13 is: 1,561,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,210.11 : 1,012,298.13 = 1,012,298.13 : x
  2. Step 2: Convert to fraction form
    656,210.11/1,012,298.13 = 1,012,298.13/x
  3. Step 3: Cross multiply
    656,210.11x = 1,012,298.13 × 1,012,298.13
  4. Step 4: Simplify right side
    656,210.11x = 1,024,747,509,695.67
  5. Step 5: Solve for x
    x = 1,024,747,509,695.67/656,210.11
  6. Step 6: Final answer
    x = 1,561,614.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.