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Finding the Third Proportional to 610,087 and 927,569

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Solution

The third proportional to 610,087 and 927,569 is: 1,410,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,087 : 927,569 = 927,569 : x
  2. Step 2: Convert to fraction form
    610,087/927,569 = 927,569/x
  3. Step 3: Cross multiply
    610,087x = 927,569 × 927,569
  4. Step 4: Simplify right side
    610,087x = 860,384,249,761
  5. Step 5: Solve for x
    x = 860,384,249,761/610,087
  6. Step 6: Final answer
    x = 1,410,264.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.