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Finding the Third Proportional to 838,829,844 and 1,258,244,874

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Solution

The third proportional to 838,829,844 and 1,258,244,874 is: 1,887,367,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,829,844 : 1,258,244,874 = 1,258,244,874 : x
  2. Step 2: Convert to fraction form
    838,829,844/1,258,244,874 = 1,258,244,874/x
  3. Step 3: Cross multiply
    838,829,844x = 1,258,244,874 × 1,258,244,874
  4. Step 4: Simplify right side
    838,829,844x = 1,583,180,162,947,275,776
  5. Step 5: Solve for x
    x = 1,583,180,162,947,275,776/838,829,844
  6. Step 6: Final answer
    x = 1,887,367,473.00

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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.