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Finding the Third Proportional to 469,089 and 1,024,200

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Solution

The third proportional to 469,089 and 1,024,200 is: 2,236,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,089 : 1,024,200 = 1,024,200 : x
  2. Step 2: Convert to fraction form
    469,089/1,024,200 = 1,024,200/x
  3. Step 3: Cross multiply
    469,089x = 1,024,200 × 1,024,200
  4. Step 4: Simplify right side
    469,089x = 1,048,985,640,000
  5. Step 5: Solve for x
    x = 1,048,985,640,000/469,089
  6. Step 6: Final answer
    x = 2,236,218.80

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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.