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Finding the Third Proportional to 803,424 and 1,673,432

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Solution

The third proportional to 803,424 and 1,673,432 is: 3,485,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,424 : 1,673,432 = 1,673,432 : x
  2. Step 2: Convert to fraction form
    803,424/1,673,432 = 1,673,432/x
  3. Step 3: Cross multiply
    803,424x = 1,673,432 × 1,673,432
  4. Step 4: Simplify right side
    803,424x = 2,800,374,658,624
  5. Step 5: Solve for x
    x = 2,800,374,658,624/803,424
  6. Step 6: Final answer
    x = 3,485,550.17

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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.