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Finding the Third Proportional to 4,154,764 and 6,215,537

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Solution

The third proportional to 4,154,764 and 6,215,537 is: 9,298,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154,764 : 6,215,537 = 6,215,537 : x
  2. Step 2: Convert to fraction form
    4,154,764/6,215,537 = 6,215,537/x
  3. Step 3: Cross multiply
    4,154,764x = 6,215,537 × 6,215,537
  4. Step 4: Simplify right side
    4,154,764x = 38,632,900,198,369
  5. Step 5: Solve for x
    x = 38,632,900,198,369/4,154,764
  6. Step 6: Final answer
    x = 9,298,458.40

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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.