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Finding the Third Proportional to 523,865,040 and 873,055,782

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Solution

The third proportional to 523,865,040 and 873,055,782 is: 1,455,005,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,865,040 : 873,055,782 = 873,055,782 : x
  2. Step 2: Convert to fraction form
    523,865,040/873,055,782 = 873,055,782/x
  3. Step 3: Cross multiply
    523,865,040x = 873,055,782 × 873,055,782
  4. Step 4: Simplify right side
    523,865,040x = 762,226,398,483,631,488
  5. Step 5: Solve for x
    x = 762,226,398,483,631,488/523,865,040
  6. Step 6: Final answer
    x = 1,455,005,278.62

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.