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Finding the Third Proportional to 1,013,850 and 1,569,306

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Solution

The third proportional to 1,013,850 and 1,569,306 is: 2,429,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,850 : 1,569,306 = 1,569,306 : x
  2. Step 2: Convert to fraction form
    1,013,850/1,569,306 = 1,569,306/x
  3. Step 3: Cross multiply
    1,013,850x = 1,569,306 × 1,569,306
  4. Step 4: Simplify right side
    1,013,850x = 2,462,721,321,636
  5. Step 5: Solve for x
    x = 2,462,721,321,636/1,013,850
  6. Step 6: Final answer
    x = 2,429,078.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.