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Finding the Third Proportional to 803,344 and 1,731,200

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Solution

The third proportional to 803,344 and 1,731,200 is: 3,730,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,344 : 1,731,200 = 1,731,200 : x
  2. Step 2: Convert to fraction form
    803,344/1,731,200 = 1,731,200/x
  3. Step 3: Cross multiply
    803,344x = 1,731,200 × 1,731,200
  4. Step 4: Simplify right side
    803,344x = 2,997,053,440,000
  5. Step 5: Solve for x
    x = 2,997,053,440,000/803,344
  6. Step 6: Final answer
    x = 3,730,722.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.