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Finding the Third Proportional to 834,498 and 1,251,184.50

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Solution

The third proportional to 834,498 and 1,251,184.50 is: 1,875,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,498 : 1,251,184.50 = 1,251,184.50 : x
  2. Step 2: Convert to fraction form
    834,498/1,251,184.50 = 1,251,184.50/x
  3. Step 3: Cross multiply
    834,498x = 1,251,184.50 × 1,251,184.50
  4. Step 4: Simplify right side
    834,498x = 1,565,462,653,040.25
  5. Step 5: Solve for x
    x = 1,565,462,653,040.25/834,498
  6. Step 6: Final answer
    x = 1,875,933.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.