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Finding the Third Proportional to 656,528 and 1,428,086.13

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Solution

The third proportional to 656,528 and 1,428,086.13 is: 3,106,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,528 : 1,428,086.13 = 1,428,086.13 : x
  2. Step 2: Convert to fraction form
    656,528/1,428,086.13 = 1,428,086.13/x
  3. Step 3: Cross multiply
    656,528x = 1,428,086.13 × 1,428,086.13
  4. Step 4: Simplify right side
    656,528x = 2,039,429,980,417.52
  5. Step 5: Solve for x
    x = 2,039,429,980,417.52/656,528
  6. Step 6: Final answer
    x = 3,106,386.90

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