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Finding the Third Proportional to 966,272 and 1,597,008

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Solution

The third proportional to 966,272 and 1,597,008 is: 2,639,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,272 : 1,597,008 = 1,597,008 : x
  2. Step 2: Convert to fraction form
    966,272/1,597,008 = 1,597,008/x
  3. Step 3: Cross multiply
    966,272x = 1,597,008 × 1,597,008
  4. Step 4: Simplify right side
    966,272x = 2,550,434,552,064
  5. Step 5: Solve for x
    x = 2,550,434,552,064/966,272
  6. Step 6: Final answer
    x = 2,639,458.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.