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Finding the Third Proportional to 417,816 and 915,729

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Solution

The third proportional to 417,816 and 915,729 is: 2,007,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,816 : 915,729 = 915,729 : x
  2. Step 2: Convert to fraction form
    417,816/915,729 = 915,729/x
  3. Step 3: Cross multiply
    417,816x = 915,729 × 915,729
  4. Step 4: Simplify right side
    417,816x = 838,559,601,441
  5. Step 5: Solve for x
    x = 838,559,601,441/417,816
  6. Step 6: Final answer
    x = 2,007,006.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.