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Finding the Third Proportional to 632,088 and 1,338,516

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Solution

The third proportional to 632,088 and 1,338,516 is: 2,834,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,088 : 1,338,516 = 1,338,516 : x
  2. Step 2: Convert to fraction form
    632,088/1,338,516 = 1,338,516/x
  3. Step 3: Cross multiply
    632,088x = 1,338,516 × 1,338,516
  4. Step 4: Simplify right side
    632,088x = 1,791,625,082,256
  5. Step 5: Solve for x
    x = 1,791,625,082,256/632,088
  6. Step 6: Final answer
    x = 2,834,455.14

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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.