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Finding the Third Proportional to 802,392 and 1,731,180

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Solution

The third proportional to 802,392 and 1,731,180 is: 3,735,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,392 : 1,731,180 = 1,731,180 : x
  2. Step 2: Convert to fraction form
    802,392/1,731,180 = 1,731,180/x
  3. Step 3: Cross multiply
    802,392x = 1,731,180 × 1,731,180
  4. Step 4: Simplify right side
    802,392x = 2,996,984,192,400
  5. Step 5: Solve for x
    x = 2,996,984,192,400/802,392
  6. Step 6: Final answer
    x = 3,735,062.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.