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Finding the Third Proportional to 3,870,422 and 6,102,473

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Solution

The third proportional to 3,870,422 and 6,102,473 is: 9,621,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,422 : 6,102,473 = 6,102,473 : x
  2. Step 2: Convert to fraction form
    3,870,422/6,102,473 = 6,102,473/x
  3. Step 3: Cross multiply
    3,870,422x = 6,102,473 × 6,102,473
  4. Step 4: Simplify right side
    3,870,422x = 37,240,176,715,729
  5. Step 5: Solve for x
    x = 37,240,176,715,729/3,870,422
  6. Step 6: Final answer
    x = 9,621,735.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.