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Finding the Third Proportional to 960,776 and 2,226,548

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Solution

The third proportional to 960,776 and 2,226,548 is: 5,159,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,776 : 2,226,548 = 2,226,548 : x
  2. Step 2: Convert to fraction form
    960,776/2,226,548 = 2,226,548/x
  3. Step 3: Cross multiply
    960,776x = 2,226,548 × 2,226,548
  4. Step 4: Simplify right side
    960,776x = 4,957,515,996,304
  5. Step 5: Solve for x
    x = 4,957,515,996,304/960,776
  6. Step 6: Final answer
    x = 5,159,908.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.