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Finding the Third Proportional to 803,583 and 1,673,733

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Solution

The third proportional to 803,583 and 1,673,733 is: 3,486,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,583 : 1,673,733 = 1,673,733 : x
  2. Step 2: Convert to fraction form
    803,583/1,673,733 = 1,673,733/x
  3. Step 3: Cross multiply
    803,583x = 1,673,733 × 1,673,733
  4. Step 4: Simplify right side
    803,583x = 2,801,382,155,289
  5. Step 5: Solve for x
    x = 2,801,382,155,289/803,583
  6. Step 6: Final answer
    x = 3,486,114.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.