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Finding the Third Proportional to 1,605,757.50 and 2,348,352

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Solution

The third proportional to 1,605,757.50 and 2,348,352 is: 3,434,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,757.50 : 2,348,352 = 2,348,352 : x
  2. Step 2: Convert to fraction form
    1,605,757.50/2,348,352 = 2,348,352/x
  3. Step 3: Cross multiply
    1,605,757.50x = 2,348,352 × 2,348,352
  4. Step 4: Simplify right side
    1,605,757.50x = 5,514,757,115,904
  5. Step 5: Solve for x
    x = 5,514,757,115,904/1,605,757.50
  6. Step 6: Final answer
    x = 3,434,364.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.