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Finding the Third Proportional to 578,445 and 1,253,424

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Solution

The third proportional to 578,445 and 1,253,424 is: 2,716,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,445 : 1,253,424 = 1,253,424 : x
  2. Step 2: Convert to fraction form
    578,445/1,253,424 = 1,253,424/x
  3. Step 3: Cross multiply
    578,445x = 1,253,424 × 1,253,424
  4. Step 4: Simplify right side
    578,445x = 1,571,071,723,776
  5. Step 5: Solve for x
    x = 1,571,071,723,776/578,445
  6. Step 6: Final answer
    x = 2,716,026.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.