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Finding the Third Proportional to 1,357,456.50 and 2,680,650

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Solution

The third proportional to 1,357,456.50 and 2,680,650 is: 5,293,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,456.50 : 2,680,650 = 2,680,650 : x
  2. Step 2: Convert to fraction form
    1,357,456.50/2,680,650 = 2,680,650/x
  3. Step 3: Cross multiply
    1,357,456.50x = 2,680,650 × 2,680,650
  4. Step 4: Simplify right side
    1,357,456.50x = 7,185,884,422,500
  5. Step 5: Solve for x
    x = 7,185,884,422,500/1,357,456.50
  6. Step 6: Final answer
    x = 5,293,638.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.