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Finding the Third Proportional to 652,342.99 and 1,349,434.05

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Solution

The third proportional to 652,342.99 and 1,349,434.05 is: 2,791,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,342.99 : 1,349,434.05 = 1,349,434.05 : x
  2. Step 2: Convert to fraction form
    652,342.99/1,349,434.05 = 1,349,434.05/x
  3. Step 3: Cross multiply
    652,342.99x = 1,349,434.05 × 1,349,434.05
  4. Step 4: Simplify right side
    652,342.99x = 1,820,972,267,950.35
  5. Step 5: Solve for x
    x = 1,820,972,267,950.35/652,342.99
  6. Step 6: Final answer
    x = 2,791,433.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.