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Finding the Third Proportional to 617,658 and 938,475

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Solution

The third proportional to 617,658 and 938,475 is: 1,425,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,658 : 938,475 = 938,475 : x
  2. Step 2: Convert to fraction form
    617,658/938,475 = 938,475/x
  3. Step 3: Cross multiply
    617,658x = 938,475 × 938,475
  4. Step 4: Simplify right side
    617,658x = 880,735,325,625
  5. Step 5: Solve for x
    x = 880,735,325,625/617,658
  6. Step 6: Final answer
    x = 1,425,927.17

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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.