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Finding the Third Proportional to 491,041,324.50 and 1,063,813,674

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Solution

The third proportional to 491,041,324.50 and 1,063,813,674 is: 2,304,693,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041,324.50 : 1,063,813,674 = 1,063,813,674 : x
  2. Step 2: Convert to fraction form
    491,041,324.50/1,063,813,674 = 1,063,813,674/x
  3. Step 3: Cross multiply
    491,041,324.50x = 1,063,813,674 × 1,063,813,674
  4. Step 4: Simplify right side
    491,041,324.50x = 1,131,699,532,989,378,304
  5. Step 5: Solve for x
    x = 1,131,699,532,989,378,304/491,041,324.50
  6. Step 6: Final answer
    x = 2,304,693,060.49

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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.