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Finding the Third Proportional to 1,703,583 and 3,752,832

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Solution

The third proportional to 1,703,583 and 3,752,832 is: 8,267,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,583 : 3,752,832 = 3,752,832 : x
  2. Step 2: Convert to fraction form
    1,703,583/3,752,832 = 3,752,832/x
  3. Step 3: Cross multiply
    1,703,583x = 3,752,832 × 3,752,832
  4. Step 4: Simplify right side
    1,703,583x = 14,083,748,020,224
  5. Step 5: Solve for x
    x = 14,083,748,020,224/1,703,583
  6. Step 6: Final answer
    x = 8,267,133.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.