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Finding the Third Proportional to 497,050,503 and 1,081,369,311

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Solution

The third proportional to 497,050,503 and 1,081,369,311 is: 2,352,597,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,050,503 : 1,081,369,311 = 1,081,369,311 : x
  2. Step 2: Convert to fraction form
    497,050,503/1,081,369,311 = 1,081,369,311/x
  3. Step 3: Cross multiply
    497,050,503x = 1,081,369,311 × 1,081,369,311
  4. Step 4: Simplify right side
    497,050,503x = 1,169,359,586,772,614,656
  5. Step 5: Solve for x
    x = 1,169,359,586,772,614,656/497,050,503
  6. Step 6: Final answer
    x = 2,352,597,129.90

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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.