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Finding the Third Proportional to 1,013,920 and 1,569,419

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Solution

The third proportional to 1,013,920 and 1,569,419 is: 2,429,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,920 : 1,569,419 = 1,569,419 : x
  2. Step 2: Convert to fraction form
    1,013,920/1,569,419 = 1,569,419/x
  3. Step 3: Cross multiply
    1,013,920x = 1,569,419 × 1,569,419
  4. Step 4: Simplify right side
    1,013,920x = 2,463,075,997,561
  5. Step 5: Solve for x
    x = 2,463,075,997,561/1,013,920
  6. Step 6: Final answer
    x = 2,429,260.69

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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.