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Finding the Third Proportional to 2,046,469 and 4,456,002

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Solution

The third proportional to 2,046,469 and 4,456,002 is: 9,702,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,469 : 4,456,002 = 4,456,002 : x
  2. Step 2: Convert to fraction form
    2,046,469/4,456,002 = 4,456,002/x
  3. Step 3: Cross multiply
    2,046,469x = 4,456,002 × 4,456,002
  4. Step 4: Simplify right side
    2,046,469x = 19,855,953,824,004
  5. Step 5: Solve for x
    x = 19,855,953,824,004/2,046,469
  6. Step 6: Final answer
    x = 9,702,543.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.