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Finding the Third Proportional to 424,895,182 and 914,360,434

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Solution

The third proportional to 424,895,182 and 914,360,434 is: 1,967,673,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,895,182 : 914,360,434 = 914,360,434 : x
  2. Step 2: Convert to fraction form
    424,895,182/914,360,434 = 914,360,434/x
  3. Step 3: Cross multiply
    424,895,182x = 914,360,434 × 914,360,434
  4. Step 4: Simplify right side
    424,895,182x = 836,055,003,264,668,416
  5. Step 5: Solve for x
    x = 836,055,003,264,668,416/424,895,182
  6. Step 6: Final answer
    x = 1,967,673,531.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.