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Finding the Third Proportional to 456,344 and 971,800

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Solution

The third proportional to 456,344 and 971,800 is: 2,069,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,344 : 971,800 = 971,800 : x
  2. Step 2: Convert to fraction form
    456,344/971,800 = 971,800/x
  3. Step 3: Cross multiply
    456,344x = 971,800 × 971,800
  4. Step 4: Simplify right side
    456,344x = 944,395,240,000
  5. Step 5: Solve for x
    x = 944,395,240,000/456,344
  6. Step 6: Final answer
    x = 2,069,481.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.