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Finding the Third Proportional to 580,432,705 and 887,530,158

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Solution

The third proportional to 580,432,705 and 887,530,158 is: 1,357,107,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,432,705 : 887,530,158 = 887,530,158 : x
  2. Step 2: Convert to fraction form
    580,432,705/887,530,158 = 887,530,158/x
  3. Step 3: Cross multiply
    580,432,705x = 887,530,158 × 887,530,158
  4. Step 4: Simplify right side
    580,432,705x = 787,709,781,359,505,024
  5. Step 5: Solve for x
    x = 787,709,781,359,505,024/580,432,705
  6. Step 6: Final answer
    x = 1,357,107,851.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.