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Finding the Third Proportional to 521,149,806 and 793,935,705

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Solution

The third proportional to 521,149,806 and 793,935,705 is: 1,209,506,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,149,806 : 793,935,705 = 793,935,705 : x
  2. Step 2: Convert to fraction form
    521,149,806/793,935,705 = 793,935,705/x
  3. Step 3: Cross multiply
    521,149,806x = 793,935,705 × 793,935,705
  4. Step 4: Simplify right side
    521,149,806x = 630,333,903,673,847,040
  5. Step 5: Solve for x
    x = 630,333,903,673,847,040/521,149,806
  6. Step 6: Final answer
    x = 1,209,506,165.82

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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.