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Finding the Third Proportional to 966,816 and 2,126,952

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Solution

The third proportional to 966,816 and 2,126,952 is: 4,679,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,816 : 2,126,952 = 2,126,952 : x
  2. Step 2: Convert to fraction form
    966,816/2,126,952 = 2,126,952/x
  3. Step 3: Cross multiply
    966,816x = 2,126,952 × 2,126,952
  4. Step 4: Simplify right side
    966,816x = 4,523,924,810,304
  5. Step 5: Solve for x
    x = 4,523,924,810,304/966,816
  6. Step 6: Final answer
    x = 4,679,199.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.