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Finding the Third Proportional to 2,159,125 and 4,650,399

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Solution

The third proportional to 2,159,125 and 4,650,399 is: 10,016,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,125 : 4,650,399 = 4,650,399 : x
  2. Step 2: Convert to fraction form
    2,159,125/4,650,399 = 4,650,399/x
  3. Step 3: Cross multiply
    2,159,125x = 4,650,399 × 4,650,399
  4. Step 4: Simplify right side
    2,159,125x = 21,626,210,859,201
  5. Step 5: Solve for x
    x = 21,626,210,859,201/2,159,125
  6. Step 6: Final answer
    x = 10,016,192.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.