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Finding the Third Proportional to 443,703,822 and 692,416,742

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Solution

The third proportional to 443,703,822 and 692,416,742 is: 1,080,542,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,703,822 : 692,416,742 = 692,416,742 : x
  2. Step 2: Convert to fraction form
    443,703,822/692,416,742 = 692,416,742/x
  3. Step 3: Cross multiply
    443,703,822x = 692,416,742 × 692,416,742
  4. Step 4: Simplify right side
    443,703,822x = 479,440,944,601,894,592
  5. Step 5: Solve for x
    x = 479,440,944,601,894,592/443,703,822
  6. Step 6: Final answer
    x = 1,080,542,742.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.