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Finding the Third Proportional to 838,829,851 and 1,258,244,885

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Solution

The third proportional to 838,829,851 and 1,258,244,885 is: 1,887,367,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,829,851 : 1,258,244,885 = 1,258,244,885 : x
  2. Step 2: Convert to fraction form
    838,829,851/1,258,244,885 = 1,258,244,885/x
  3. Step 3: Cross multiply
    838,829,851x = 1,258,244,885 × 1,258,244,885
  4. Step 4: Simplify right side
    838,829,851x = 1,583,180,190,628,663,296
  5. Step 5: Solve for x
    x = 1,583,180,190,628,663,296/838,829,851
  6. Step 6: Final answer
    x = 1,887,367,490.25

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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.