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Finding the Third Proportional to 1,744,084 and 2,547,100

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Solution

The third proportional to 1,744,084 and 2,547,100 is: 3,719,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,084 : 2,547,100 = 2,547,100 : x
  2. Step 2: Convert to fraction form
    1,744,084/2,547,100 = 2,547,100/x
  3. Step 3: Cross multiply
    1,744,084x = 2,547,100 × 2,547,100
  4. Step 4: Simplify right side
    1,744,084x = 6,487,718,410,000
  5. Step 5: Solve for x
    x = 6,487,718,410,000/1,744,084
  6. Step 6: Final answer
    x = 3,719,842.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.