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Finding the Third Proportional to 484,488,081 and 1,062,774,675

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Solution

The third proportional to 484,488,081 and 1,062,774,675 is: 2,331,306,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,488,081 : 1,062,774,675 = 1,062,774,675 : x
  2. Step 2: Convert to fraction form
    484,488,081/1,062,774,675 = 1,062,774,675/x
  3. Step 3: Cross multiply
    484,488,081x = 1,062,774,675 × 1,062,774,675
  4. Step 4: Simplify right side
    484,488,081x = 1,129,490,009,821,355,648
  5. Step 5: Solve for x
    x = 1,129,490,009,821,355,648/484,488,081
  6. Step 6: Final answer
    x = 2,331,306,081.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.