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Finding the Third Proportional to 838,860 and 1,334,298

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Solution

The third proportional to 838,860 and 1,334,298 is: 2,122,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,860 : 1,334,298 = 1,334,298 : x
  2. Step 2: Convert to fraction form
    838,860/1,334,298 = 1,334,298/x
  3. Step 3: Cross multiply
    838,860x = 1,334,298 × 1,334,298
  4. Step 4: Simplify right side
    838,860x = 1,780,351,152,804
  5. Step 5: Solve for x
    x = 1,780,351,152,804/838,860
  6. Step 6: Final answer
    x = 2,122,345.98

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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.