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Finding the Third Proportional to 673,952 and 1,471,400

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Solution

The third proportional to 673,952 and 1,471,400 is: 3,212,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,952 : 1,471,400 = 1,471,400 : x
  2. Step 2: Convert to fraction form
    673,952/1,471,400 = 1,471,400/x
  3. Step 3: Cross multiply
    673,952x = 1,471,400 × 1,471,400
  4. Step 4: Simplify right side
    673,952x = 2,165,017,960,000
  5. Step 5: Solve for x
    x = 2,165,017,960,000/673,952
  6. Step 6: Final answer
    x = 3,212,421.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.