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Finding the Third Proportional to 582,877,128 and 1,262,609,520

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Solution

The third proportional to 582,877,128 and 1,262,609,520 is: 2,735,023,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,877,128 : 1,262,609,520 = 1,262,609,520 : x
  2. Step 2: Convert to fraction form
    582,877,128/1,262,609,520 = 1,262,609,520/x
  3. Step 3: Cross multiply
    582,877,128x = 1,262,609,520 × 1,262,609,520
  4. Step 4: Simplify right side
    582,877,128x = 1,594,182,799,994,630,400
  5. Step 5: Solve for x
    x = 1,594,182,799,994,630,400/582,877,128
  6. Step 6: Final answer
    x = 2,735,023,769.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.