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Finding the Third Proportional to 582,628,689 and 1,248,361,344

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Solution

The third proportional to 582,628,689 and 1,248,361,344 is: 2,674,784,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,628,689 : 1,248,361,344 = 1,248,361,344 : x
  2. Step 2: Convert to fraction form
    582,628,689/1,248,361,344 = 1,248,361,344/x
  3. Step 3: Cross multiply
    582,628,689x = 1,248,361,344 × 1,248,361,344
  4. Step 4: Simplify right side
    582,628,689x = 1,558,406,045,193,486,336
  5. Step 5: Solve for x
    x = 1,558,406,045,193,486,336/582,628,689
  6. Step 6: Final answer
    x = 2,674,784,257.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.