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Finding the Third Proportional to 652,595.06 and 1,401,589.41

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Solution

The third proportional to 652,595.06 and 1,401,589.41 is: 3,010,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,595.06 : 1,401,589.41 = 1,401,589.41 : x
  2. Step 2: Convert to fraction form
    652,595.06/1,401,589.41 = 1,401,589.41/x
  3. Step 3: Cross multiply
    652,595.06x = 1,401,589.41 × 1,401,589.41
  4. Step 4: Simplify right side
    652,595.06x = 1,964,452,863,712.23
  5. Step 5: Solve for x
    x = 1,964,452,863,712.23/652,595.06
  6. Step 6: Final answer
    x = 3,010,217.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.