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Finding the Third Proportional to 1,765,698.75 and 2,499,148.69

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Solution

The third proportional to 1,765,698.75 and 2,499,148.69 is: 3,537,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,698.75 : 2,499,148.69 = 2,499,148.69 : x
  2. Step 2: Convert to fraction form
    1,765,698.75/2,499,148.69 = 2,499,148.69/x
  3. Step 3: Cross multiply
    1,765,698.75x = 2,499,148.69 × 2,499,148.69
  4. Step 4: Simplify right side
    1,765,698.75x = 6,245,744,162,232.97
  5. Step 5: Solve for x
    x = 6,245,744,162,232.97/1,765,698.75
  6. Step 6: Final answer
    x = 3,537,264.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.