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Finding the Third Proportional to 1,038,234 and 2,301,924

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Solution

The third proportional to 1,038,234 and 2,301,924 is: 5,103,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,234 : 2,301,924 = 2,301,924 : x
  2. Step 2: Convert to fraction form
    1,038,234/2,301,924 = 2,301,924/x
  3. Step 3: Cross multiply
    1,038,234x = 2,301,924 × 2,301,924
  4. Step 4: Simplify right side
    1,038,234x = 5,298,854,101,776
  5. Step 5: Solve for x
    x = 5,298,854,101,776/1,038,234
  6. Step 6: Final answer
    x = 5,103,718.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.