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Finding the Third Proportional to 416,324 and 915,592

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Solution

The third proportional to 416,324 and 915,592 is: 2,013,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,324 : 915,592 = 915,592 : x
  2. Step 2: Convert to fraction form
    416,324/915,592 = 915,592/x
  3. Step 3: Cross multiply
    416,324x = 915,592 × 915,592
  4. Step 4: Simplify right side
    416,324x = 838,308,710,464
  5. Step 5: Solve for x
    x = 838,308,710,464/416,324
  6. Step 6: Final answer
    x = 2,013,596.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.