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Finding the Third Proportional to 680,056 and 1,049,344

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Solution

The third proportional to 680,056 and 1,049,344 is: 1,619,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,056 : 1,049,344 = 1,049,344 : x
  2. Step 2: Convert to fraction form
    680,056/1,049,344 = 1,049,344/x
  3. Step 3: Cross multiply
    680,056x = 1,049,344 × 1,049,344
  4. Step 4: Simplify right side
    680,056x = 1,101,122,830,336
  5. Step 5: Solve for x
    x = 1,101,122,830,336/680,056
  6. Step 6: Final answer
    x = 1,619,164.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.