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Finding the Third Proportional to 2,557,413 and 5,596,452

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Solution

The third proportional to 2,557,413 and 5,596,452 is: 12,246,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,413 : 5,596,452 = 5,596,452 : x
  2. Step 2: Convert to fraction form
    2,557,413/5,596,452 = 5,596,452/x
  3. Step 3: Cross multiply
    2,557,413x = 5,596,452 × 5,596,452
  4. Step 4: Simplify right side
    2,557,413x = 31,320,274,988,304
  5. Step 5: Solve for x
    x = 31,320,274,988,304/2,557,413
  6. Step 6: Final answer
    x = 12,246,858.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.