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Finding the Third Proportional to 632,098 and 1,338,536

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Solution

The third proportional to 632,098 and 1,338,536 is: 2,834,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,098 : 1,338,536 = 1,338,536 : x
  2. Step 2: Convert to fraction form
    632,098/1,338,536 = 1,338,536/x
  3. Step 3: Cross multiply
    632,098x = 1,338,536 × 1,338,536
  4. Step 4: Simplify right side
    632,098x = 1,791,678,623,296
  5. Step 5: Solve for x
    x = 1,791,678,623,296/632,098
  6. Step 6: Final answer
    x = 2,834,495.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.