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Finding the Third Proportional to 1,569,418 and 2,413,175

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Solution

The third proportional to 1,569,418 and 2,413,175 is: 3,710,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,418 : 2,413,175 = 2,413,175 : x
  2. Step 2: Convert to fraction form
    1,569,418/2,413,175 = 2,413,175/x
  3. Step 3: Cross multiply
    1,569,418x = 2,413,175 × 2,413,175
  4. Step 4: Simplify right side
    1,569,418x = 5,823,413,580,625
  5. Step 5: Solve for x
    x = 5,823,413,580,625/1,569,418
  6. Step 6: Final answer
    x = 3,710,556.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.