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Finding the Third Proportional to 807,656,840 and 1,756,823,524

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Solution

The third proportional to 807,656,840 and 1,756,823,524 is: 3,821,460,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,656,840 : 1,756,823,524 = 1,756,823,524 : x
  2. Step 2: Convert to fraction form
    807,656,840/1,756,823,524 = 1,756,823,524/x
  3. Step 3: Cross multiply
    807,656,840x = 1,756,823,524 × 1,756,823,524
  4. Step 4: Simplify right side
    807,656,840x = 3,086,428,894,479,778,816
  5. Step 5: Solve for x
    x = 3,086,428,894,479,778,816/807,656,840
  6. Step 6: Final answer
    x = 3,821,460,726.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.