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Finding the Third Proportional to 1,666,856.25 and 2,489,308.88

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Solution

The third proportional to 1,666,856.25 and 2,489,308.88 is: 3,717,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,856.25 : 2,489,308.88 = 2,489,308.88 : x
  2. Step 2: Convert to fraction form
    1,666,856.25/2,489,308.88 = 2,489,308.88/x
  3. Step 3: Cross multiply
    1,666,856.25x = 2,489,308.88 × 2,489,308.88
  4. Step 4: Simplify right side
    1,666,856.25x = 6,196,658,675,153.77
  5. Step 5: Solve for x
    x = 6,196,658,675,153.77/1,666,856.25
  6. Step 6: Final answer
    x = 3,717,572.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.