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Finding the Third Proportional to 580,320,396 and 1,226,140,632

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Solution

The third proportional to 580,320,396 and 1,226,140,632 is: 2,590,673,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,320,396 : 1,226,140,632 = 1,226,140,632 : x
  2. Step 2: Convert to fraction form
    580,320,396/1,226,140,632 = 1,226,140,632/x
  3. Step 3: Cross multiply
    580,320,396x = 1,226,140,632 × 1,226,140,632
  4. Step 4: Simplify right side
    580,320,396x = 1,503,420,849,441,359,360
  5. Step 5: Solve for x
    x = 1,503,420,849,441,359,360/580,320,396
  6. Step 6: Final answer
    x = 2,590,673,806.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.