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Finding the Third Proportional to 687,028 and 1,465,370

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Solution

The third proportional to 687,028 and 1,465,370 is: 3,125,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,028 : 1,465,370 = 1,465,370 : x
  2. Step 2: Convert to fraction form
    687,028/1,465,370 = 1,465,370/x
  3. Step 3: Cross multiply
    687,028x = 1,465,370 × 1,465,370
  4. Step 4: Simplify right side
    687,028x = 2,147,309,236,900
  5. Step 5: Solve for x
    x = 2,147,309,236,900/687,028
  6. Step 6: Final answer
    x = 3,125,504.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.