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Finding the Third Proportional to 1,680,428 and 2,415,666

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Solution

The third proportional to 1,680,428 and 2,415,666 is: 3,472,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,428 : 2,415,666 = 2,415,666 : x
  2. Step 2: Convert to fraction form
    1,680,428/2,415,666 = 2,415,666/x
  3. Step 3: Cross multiply
    1,680,428x = 2,415,666 × 2,415,666
  4. Step 4: Simplify right side
    1,680,428x = 5,835,442,223,556
  5. Step 5: Solve for x
    x = 5,835,442,223,556/1,680,428
  6. Step 6: Final answer
    x = 3,472,592.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.