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Finding the Third Proportional to 819,346,683 and 1,197,913,498

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Solution

The third proportional to 819,346,683 and 1,197,913,498 is: 1,751,391,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,346,683 : 1,197,913,498 = 1,197,913,498 : x
  2. Step 2: Convert to fraction form
    819,346,683/1,197,913,498 = 1,197,913,498/x
  3. Step 3: Cross multiply
    819,346,683x = 1,197,913,498 × 1,197,913,498
  4. Step 4: Simplify right side
    819,346,683x = 1,434,996,748,690,596,096
  5. Step 5: Solve for x
    x = 1,434,996,748,690,596,096/819,346,683
  6. Step 6: Final answer
    x = 1,751,391,417.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.