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Finding the Third Proportional to 417,938 and 898,724

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Solution

The third proportional to 417,938 and 898,724 is: 1,932,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,938 : 898,724 = 898,724 : x
  2. Step 2: Convert to fraction form
    417,938/898,724 = 898,724/x
  3. Step 3: Cross multiply
    417,938x = 898,724 × 898,724
  4. Step 4: Simplify right side
    417,938x = 807,704,828,176
  5. Step 5: Solve for x
    x = 807,704,828,176/417,938
  6. Step 6: Final answer
    x = 1,932,594.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.