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Finding the Third Proportional to 617,128 and 933,432

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Solution

The third proportional to 617,128 and 933,432 is: 1,411,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,128 : 933,432 = 933,432 : x
  2. Step 2: Convert to fraction form
    617,128/933,432 = 933,432/x
  3. Step 3: Cross multiply
    617,128x = 933,432 × 933,432
  4. Step 4: Simplify right side
    617,128x = 871,295,298,624
  5. Step 5: Solve for x
    x = 871,295,298,624/617,128
  6. Step 6: Final answer
    x = 1,411,855.07

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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.