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Finding the Third Proportional to 617,132 and 933,438

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Solution

The third proportional to 617,132 and 933,438 is: 1,411,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,132 : 933,438 = 933,438 : x
  2. Step 2: Convert to fraction form
    617,132/933,438 = 933,438/x
  3. Step 3: Cross multiply
    617,132x = 933,438 × 933,438
  4. Step 4: Simplify right side
    617,132x = 871,306,499,844
  5. Step 5: Solve for x
    x = 871,306,499,844/617,132
  6. Step 6: Final answer
    x = 1,411,864.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.