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Finding the Third Proportional to 691,877,874 and 1,114,151,256

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Solution

The third proportional to 691,877,874 and 1,114,151,256 is: 1,794,150,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,877,874 : 1,114,151,256 = 1,114,151,256 : x
  2. Step 2: Convert to fraction form
    691,877,874/1,114,151,256 = 1,114,151,256/x
  3. Step 3: Cross multiply
    691,877,874x = 1,114,151,256 × 1,114,151,256
  4. Step 4: Simplify right side
    691,877,874x = 1,241,333,021,246,377,472
  5. Step 5: Solve for x
    x = 1,241,333,021,246,377,472/691,877,874
  6. Step 6: Final answer
    x = 1,794,150,482.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.