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Finding the Third Proportional to 413,948 and 905,386

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Solution

The third proportional to 413,948 and 905,386 is: 1,980,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,948 : 905,386 = 905,386 : x
  2. Step 2: Convert to fraction form
    413,948/905,386 = 905,386/x
  3. Step 3: Cross multiply
    413,948x = 905,386 × 905,386
  4. Step 4: Simplify right side
    413,948x = 819,723,808,996
  5. Step 5: Solve for x
    x = 819,723,808,996/413,948
  6. Step 6: Final answer
    x = 1,980,257.93

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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.