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Finding the Third Proportional to 1,569,394 and 2,221,306

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Solution

The third proportional to 1,569,394 and 2,221,306 is: 3,144,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,394 : 2,221,306 = 2,221,306 : x
  2. Step 2: Convert to fraction form
    1,569,394/2,221,306 = 2,221,306/x
  3. Step 3: Cross multiply
    1,569,394x = 2,221,306 × 2,221,306
  4. Step 4: Simplify right side
    1,569,394x = 4,934,200,345,636
  5. Step 5: Solve for x
    x = 4,934,200,345,636/1,569,394
  6. Step 6: Final answer
    x = 3,144,016.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.