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Finding the Third Proportional to 436,437,144 and 952,870,557

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Solution

The third proportional to 436,437,144 and 952,870,557 is: 2,080,396,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,437,144 : 952,870,557 = 952,870,557 : x
  2. Step 2: Convert to fraction form
    436,437,144/952,870,557 = 952,870,557/x
  3. Step 3: Cross multiply
    436,437,144x = 952,870,557 × 952,870,557
  4. Step 4: Simplify right side
    436,437,144x = 907,962,298,397,490,304
  5. Step 5: Solve for x
    x = 907,962,298,397,490,304/436,437,144
  6. Step 6: Final answer
    x = 2,080,396,480.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.