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Finding the Third Proportional to 2,864,621 and 4,142,748

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Solution

The third proportional to 2,864,621 and 4,142,748 is: 5,991,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,621 : 4,142,748 = 4,142,748 : x
  2. Step 2: Convert to fraction form
    2,864,621/4,142,748 = 4,142,748/x
  3. Step 3: Cross multiply
    2,864,621x = 4,142,748 × 4,142,748
  4. Step 4: Simplify right side
    2,864,621x = 17,162,360,991,504
  5. Step 5: Solve for x
    x = 17,162,360,991,504/2,864,621
  6. Step 6: Final answer
    x = 5,991,145.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.