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Finding the Third Proportional to 561,586,734 and 1,252,225,179

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Solution

The third proportional to 561,586,734 and 1,252,225,179 is: 2,792,209,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,586,734 : 1,252,225,179 = 1,252,225,179 : x
  2. Step 2: Convert to fraction form
    561,586,734/1,252,225,179 = 1,252,225,179/x
  3. Step 3: Cross multiply
    561,586,734x = 1,252,225,179 × 1,252,225,179
  4. Step 4: Simplify right side
    561,586,734x = 1,568,067,898,921,582,080
  5. Step 5: Solve for x
    x = 1,568,067,898,921,582,080/561,586,734
  6. Step 6: Final answer
    x = 2,792,209,651.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.