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Finding the Third Proportional to 3,436,582 and 6,786,413

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Solution

The third proportional to 3,436,582 and 6,786,413 is: 13,401,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,582 : 6,786,413 = 6,786,413 : x
  2. Step 2: Convert to fraction form
    3,436,582/6,786,413 = 6,786,413/x
  3. Step 3: Cross multiply
    3,436,582x = 6,786,413 × 6,786,413
  4. Step 4: Simplify right side
    3,436,582x = 46,055,401,406,569
  5. Step 5: Solve for x
    x = 46,055,401,406,569/3,436,582
  6. Step 6: Final answer
    x = 13,401,513.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.