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Finding the Third Proportional to 834,251,724 and 1,262,114,784

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Solution

The third proportional to 834,251,724 and 1,262,114,784 is: 1,909,416,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,251,724 : 1,262,114,784 = 1,262,114,784 : x
  2. Step 2: Convert to fraction form
    834,251,724/1,262,114,784 = 1,262,114,784/x
  3. Step 3: Cross multiply
    834,251,724x = 1,262,114,784 × 1,262,114,784
  4. Step 4: Simplify right side
    834,251,724x = 1,592,933,727,991,366,656
  5. Step 5: Solve for x
    x = 1,592,933,727,991,366,656/834,251,724
  6. Step 6: Final answer
    x = 1,909,416,165.61

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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.