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Finding the Third Proportional to 891,536,847 and 1,350,768,429

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Solution

The third proportional to 891,536,847 and 1,350,768,429 is: 2,046,550,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,536,847 : 1,350,768,429 = 1,350,768,429 : x
  2. Step 2: Convert to fraction form
    891,536,847/1,350,768,429 = 1,350,768,429/x
  3. Step 3: Cross multiply
    891,536,847x = 1,350,768,429 × 1,350,768,429
  4. Step 4: Simplify right side
    891,536,847x = 1,824,575,348,783,128,064
  5. Step 5: Solve for x
    x = 1,824,575,348,783,128,064/891,536,847
  6. Step 6: Final answer
    x = 2,046,550,689.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.