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Finding the Third Proportional to 966,840 and 2,127,000

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Solution

The third proportional to 966,840 and 2,127,000 is: 4,679,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,840 : 2,127,000 = 2,127,000 : x
  2. Step 2: Convert to fraction form
    966,840/2,127,000 = 2,127,000/x
  3. Step 3: Cross multiply
    966,840x = 2,127,000 × 2,127,000
  4. Step 4: Simplify right side
    966,840x = 4,524,129,000,000
  5. Step 5: Solve for x
    x = 4,524,129,000,000/966,840
  6. Step 6: Final answer
    x = 4,679,294.40

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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.