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Finding the Third Proportional to 632,097 and 1,338,534

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Solution

The third proportional to 632,097 and 1,338,534 is: 2,834,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,097 : 1,338,534 = 1,338,534 : x
  2. Step 2: Convert to fraction form
    632,097/1,338,534 = 1,338,534/x
  3. Step 3: Cross multiply
    632,097x = 1,338,534 × 1,338,534
  4. Step 4: Simplify right side
    632,097x = 1,791,673,269,156
  5. Step 5: Solve for x
    x = 1,791,673,269,156/632,097
  6. Step 6: Final answer
    x = 2,834,491.02

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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.