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Finding the Third Proportional to 438,707 and 956,740

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Solution

The third proportional to 438,707 and 956,740 is: 2,086,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,707 : 956,740 = 956,740 : x
  2. Step 2: Convert to fraction form
    438,707/956,740 = 956,740/x
  3. Step 3: Cross multiply
    438,707x = 956,740 × 956,740
  4. Step 4: Simplify right side
    438,707x = 915,351,427,600
  5. Step 5: Solve for x
    x = 915,351,427,600/438,707
  6. Step 6: Final answer
    x = 2,086,475.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.