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Finding the Third Proportional to 834,251,125 and 1,262,113,761

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Solution

The third proportional to 834,251,125 and 1,262,113,761 is: 1,909,414,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,251,125 : 1,262,113,761 = 1,262,113,761 : x
  2. Step 2: Convert to fraction form
    834,251,125/1,262,113,761 = 1,262,113,761/x
  3. Step 3: Cross multiply
    834,251,125x = 1,262,113,761 × 1,262,113,761
  4. Step 4: Simplify right side
    834,251,125x = 1,592,931,145,705,565,184
  5. Step 5: Solve for x
    x = 1,592,931,145,705,565,184/834,251,125
  6. Step 6: Final answer
    x = 1,909,414,441.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.