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Finding the Third Proportional to 392,641,834 and 608,804,674

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Solution

The third proportional to 392,641,834 and 608,804,674 is: 943,972,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,641,834 : 608,804,674 = 608,804,674 : x
  2. Step 2: Convert to fraction form
    392,641,834/608,804,674 = 608,804,674/x
  3. Step 3: Cross multiply
    392,641,834x = 608,804,674 × 608,804,674
  4. Step 4: Simplify right side
    392,641,834x = 370,643,131,084,246,272
  5. Step 5: Solve for x
    x = 370,643,131,084,246,272/392,641,834
  6. Step 6: Final answer
    x = 943,972,595.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.