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Finding the Third Proportional to 1,004,065.88 and 1,508,290.31

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Solution

The third proportional to 1,004,065.88 and 1,508,290.31 is: 2,265,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,065.88 : 1,508,290.31 = 1,508,290.31 : x
  2. Step 2: Convert to fraction form
    1,004,065.88/1,508,290.31 = 1,508,290.31/x
  3. Step 3: Cross multiply
    1,004,065.88x = 1,508,290.31 × 1,508,290.31
  4. Step 4: Simplify right side
    1,004,065.88x = 2,274,939,666,781.35
  5. Step 5: Solve for x
    x = 2,274,939,666,781.35/1,004,065.88
  6. Step 6: Final answer
    x = 2,265,727.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.