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Finding the Third Proportional to 862,959 and 1,877,424

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Solution

The third proportional to 862,959 and 1,877,424 is: 4,084,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,959 : 1,877,424 = 1,877,424 : x
  2. Step 2: Convert to fraction form
    862,959/1,877,424 = 1,877,424/x
  3. Step 3: Cross multiply
    862,959x = 1,877,424 × 1,877,424
  4. Step 4: Simplify right side
    862,959x = 3,524,720,875,776
  5. Step 5: Solve for x
    x = 3,524,720,875,776/862,959
  6. Step 6: Final answer
    x = 4,084,459.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.