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Finding the Third Proportional to 854,349,128 and 1,283,798,416

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Solution

The third proportional to 854,349,128 and 1,283,798,416 is: 1,929,115,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,349,128 : 1,283,798,416 = 1,283,798,416 : x
  2. Step 2: Convert to fraction form
    854,349,128/1,283,798,416 = 1,283,798,416/x
  3. Step 3: Cross multiply
    854,349,128x = 1,283,798,416 × 1,283,798,416
  4. Step 4: Simplify right side
    854,349,128x = 1,648,138,372,924,109,056
  5. Step 5: Solve for x
    x = 1,648,138,372,924,109,056/854,349,128
  6. Step 6: Final answer
    x = 1,929,115,766.50

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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.