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Finding the Third Proportional to 564,555,416 and 1,222,922,472

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Solution

The third proportional to 564,555,416 and 1,222,922,472 is: 2,649,056,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,555,416 : 1,222,922,472 = 1,222,922,472 : x
  2. Step 2: Convert to fraction form
    564,555,416/1,222,922,472 = 1,222,922,472/x
  3. Step 3: Cross multiply
    564,555,416x = 1,222,922,472 × 1,222,922,472
  4. Step 4: Simplify right side
    564,555,416x = 1,495,539,372,522,590,720
  5. Step 5: Solve for x
    x = 1,495,539,372,522,590,720/564,555,416
  6. Step 6: Final answer
    x = 2,649,056,815.57

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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.