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Finding the Third Proportional to 526,380,571 and 1,140,535,418

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Solution

The third proportional to 526,380,571 and 1,140,535,418 is: 2,471,255,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,380,571 : 1,140,535,418 = 1,140,535,418 : x
  2. Step 2: Convert to fraction form
    526,380,571/1,140,535,418 = 1,140,535,418/x
  3. Step 3: Cross multiply
    526,380,571x = 1,140,535,418 × 1,140,535,418
  4. Step 4: Simplify right side
    526,380,571x = 1,300,821,039,712,434,688
  5. Step 5: Solve for x
    x = 1,300,821,039,712,434,688/526,380,571
  6. Step 6: Final answer
    x = 2,471,255,801.18

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Why These Related Problems?

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