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Finding the Third Proportional to 1,013,856 and 1,569,314

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Solution

The third proportional to 1,013,856 and 1,569,314 is: 2,429,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,856 : 1,569,314 = 1,569,314 : x
  2. Step 2: Convert to fraction form
    1,013,856/1,569,314 = 1,569,314/x
  3. Step 3: Cross multiply
    1,013,856x = 1,569,314 × 1,569,314
  4. Step 4: Simplify right side
    1,013,856x = 2,462,746,430,596
  5. Step 5: Solve for x
    x = 2,462,746,430,596/1,013,856
  6. Step 6: Final answer
    x = 2,429,088.97

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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.