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Finding the Third Proportional to 4,094,509 and 6,422,522

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Solution

The third proportional to 4,094,509 and 6,422,522 is: 10,074,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094,509 : 6,422,522 = 6,422,522 : x
  2. Step 2: Convert to fraction form
    4,094,509/6,422,522 = 6,422,522/x
  3. Step 3: Cross multiply
    4,094,509x = 6,422,522 × 6,422,522
  4. Step 4: Simplify right side
    4,094,509x = 41,248,788,840,484
  5. Step 5: Solve for x
    x = 41,248,788,840,484/4,094,509
  6. Step 6: Final answer
    x = 10,074,172.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.