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Finding the Third Proportional to 687,246 and 1,421,633

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Solution

The third proportional to 687,246 and 1,421,633 is: 2,940,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,246 : 1,421,633 = 1,421,633 : x
  2. Step 2: Convert to fraction form
    687,246/1,421,633 = 1,421,633/x
  3. Step 3: Cross multiply
    687,246x = 1,421,633 × 1,421,633
  4. Step 4: Simplify right side
    687,246x = 2,021,040,386,689
  5. Step 5: Solve for x
    x = 2,021,040,386,689/687,246
  6. Step 6: Final answer
    x = 2,940,781.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.