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Finding the Third Proportional to 838,829,283 and 1,258,244,046

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Solution

The third proportional to 838,829,283 and 1,258,244,046 is: 1,887,366,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,829,283 : 1,258,244,046 = 1,258,244,046 : x
  2. Step 2: Convert to fraction form
    838,829,283/1,258,244,046 = 1,258,244,046/x
  3. Step 3: Cross multiply
    838,829,283x = 1,258,244,046 × 1,258,244,046
  4. Step 4: Simplify right side
    838,829,283x = 1,583,178,079,294,450,176
  5. Step 5: Solve for x
    x = 1,583,178,079,294,450,176/838,829,283
  6. Step 6: Final answer
    x = 1,887,366,251.25

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