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Finding the Third Proportional to 838,854 and 1,334,289

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Solution

The third proportional to 838,854 and 1,334,289 is: 2,122,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,854 : 1,334,289 = 1,334,289 : x
  2. Step 2: Convert to fraction form
    838,854/1,334,289 = 1,334,289/x
  3. Step 3: Cross multiply
    838,854x = 1,334,289 × 1,334,289
  4. Step 4: Simplify right side
    838,854x = 1,780,327,135,521
  5. Step 5: Solve for x
    x = 1,780,327,135,521/838,854
  6. Step 6: Final answer
    x = 2,122,332.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.