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Finding the Third Proportional to 763,058 and 1,658,839

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Solution

The third proportional to 763,058 and 1,658,839 is: 3,606,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,058 : 1,658,839 = 1,658,839 : x
  2. Step 2: Convert to fraction form
    763,058/1,658,839 = 1,658,839/x
  3. Step 3: Cross multiply
    763,058x = 1,658,839 × 1,658,839
  4. Step 4: Simplify right side
    763,058x = 2,751,746,827,921
  5. Step 5: Solve for x
    x = 2,751,746,827,921/763,058
  6. Step 6: Final answer
    x = 3,606,209.26

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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.