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Finding the Third Proportional to 467,069 and 971,414.50

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Solution

The third proportional to 467,069 and 971,414.50 is: 2,020,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,069 : 971,414.50 = 971,414.50 : x
  2. Step 2: Convert to fraction form
    467,069/971,414.50 = 971,414.50/x
  3. Step 3: Cross multiply
    467,069x = 971,414.50 × 971,414.50
  4. Step 4: Simplify right side
    467,069x = 943,646,130,810.25
  5. Step 5: Solve for x
    x = 943,646,130,810.25/467,069
  6. Step 6: Final answer
    x = 2,020,357.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.