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Finding the Third Proportional to 499,127,257 and 1,077,173,503

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Solution

The third proportional to 499,127,257 and 1,077,173,503 is: 2,324,663,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,127,257 : 1,077,173,503 = 1,077,173,503 : x
  2. Step 2: Convert to fraction form
    499,127,257/1,077,173,503 = 1,077,173,503/x
  3. Step 3: Cross multiply
    499,127,257x = 1,077,173,503 × 1,077,173,503
  4. Step 4: Simplify right side
    499,127,257x = 1,160,302,755,565,291,008
  5. Step 5: Solve for x
    x = 1,160,302,755,565,291,008/499,127,257
  6. Step 6: Final answer
    x = 2,324,663,178.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.