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Finding the Third Proportional to 417,432 and 902,928

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Solution

The third proportional to 417,432 and 902,928 is: 1,953,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,432 : 902,928 = 902,928 : x
  2. Step 2: Convert to fraction form
    417,432/902,928 = 902,928/x
  3. Step 3: Cross multiply
    417,432x = 902,928 × 902,928
  4. Step 4: Simplify right side
    417,432x = 815,278,973,184
  5. Step 5: Solve for x
    x = 815,278,973,184/417,432
  6. Step 6: Final answer
    x = 1,953,082.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.