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Finding the Third Proportional to 632,294 and 1,124,242

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Solution

The third proportional to 632,294 and 1,124,242 is: 1,998,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,294 : 1,124,242 = 1,124,242 : x
  2. Step 2: Convert to fraction form
    632,294/1,124,242 = 1,124,242/x
  3. Step 3: Cross multiply
    632,294x = 1,124,242 × 1,124,242
  4. Step 4: Simplify right side
    632,294x = 1,263,920,074,564
  5. Step 5: Solve for x
    x = 1,263,920,074,564/632,294
  6. Step 6: Final answer
    x = 1,998,943.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.