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Finding the Third Proportional to 438,534 and 936,972

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Solution

The third proportional to 438,534 and 936,972 is: 2,001,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,534 : 936,972 = 936,972 : x
  2. Step 2: Convert to fraction form
    438,534/936,972 = 936,972/x
  3. Step 3: Cross multiply
    438,534x = 936,972 × 936,972
  4. Step 4: Simplify right side
    438,534x = 877,916,528,784
  5. Step 5: Solve for x
    x = 877,916,528,784/438,534
  6. Step 6: Final answer
    x = 2,001,934.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.