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Finding the Third Proportional to 441,656 and 953,294

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Solution

The third proportional to 441,656 and 953,294 is: 2,057,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,656 : 953,294 = 953,294 : x
  2. Step 2: Convert to fraction form
    441,656/953,294 = 953,294/x
  3. Step 3: Cross multiply
    441,656x = 953,294 × 953,294
  4. Step 4: Simplify right side
    441,656x = 908,769,450,436
  5. Step 5: Solve for x
    x = 908,769,450,436/441,656
  6. Step 6: Final answer
    x = 2,057,640.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.