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Finding the Third Proportional to 580,572,720 and 898,940,160

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Solution

The third proportional to 580,572,720 and 898,940,160 is: 1,391,890,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,572,720 : 898,940,160 = 898,940,160 : x
  2. Step 2: Convert to fraction form
    580,572,720/898,940,160 = 898,940,160/x
  3. Step 3: Cross multiply
    580,572,720x = 898,940,160 × 898,940,160
  4. Step 4: Simplify right side
    580,572,720x = 808,093,411,260,825,600
  5. Step 5: Solve for x
    x = 808,093,411,260,825,600/580,572,720
  6. Step 6: Final answer
    x = 1,391,890,082.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.