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Finding the Third Proportional to 1,998,169 and 4,376,614

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Solution

The third proportional to 1,998,169 and 4,376,614 is: 9,586,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998,169 : 4,376,614 = 4,376,614 : x
  2. Step 2: Convert to fraction form
    1,998,169/4,376,614 = 4,376,614/x
  3. Step 3: Cross multiply
    1,998,169x = 4,376,614 × 4,376,614
  4. Step 4: Simplify right side
    1,998,169x = 19,154,750,104,996
  5. Step 5: Solve for x
    x = 19,154,750,104,996/1,998,169
  6. Step 6: Final answer
    x = 9,586,151.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.