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Finding the Third Proportional to 4,154,982 and 6,215,913

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Solution

The third proportional to 4,154,982 and 6,215,913 is: 9,299,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154,982 : 6,215,913 = 6,215,913 : x
  2. Step 2: Convert to fraction form
    4,154,982/6,215,913 = 6,215,913/x
  3. Step 3: Cross multiply
    4,154,982x = 6,215,913 × 6,215,913
  4. Step 4: Simplify right side
    4,154,982x = 38,637,574,423,569
  5. Step 5: Solve for x
    x = 38,637,574,423,569/4,154,982
  6. Step 6: Final answer
    x = 9,299,095.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.