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Finding the Third Proportional to 1,013,854 and 1,569,311

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Solution

The third proportional to 1,013,854 and 1,569,311 is: 2,429,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,854 : 1,569,311 = 1,569,311 : x
  2. Step 2: Convert to fraction form
    1,013,854/1,569,311 = 1,569,311/x
  3. Step 3: Cross multiply
    1,013,854x = 1,569,311 × 1,569,311
  4. Step 4: Simplify right side
    1,013,854x = 2,462,737,014,721
  5. Step 5: Solve for x
    x = 2,462,737,014,721/1,013,854
  6. Step 6: Final answer
    x = 2,429,084.48

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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.