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Finding the Third Proportional to 1,668,948 and 2,384,351

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Solution

The third proportional to 1,668,948 and 2,384,351 is: 3,406,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,948 : 2,384,351 = 2,384,351 : x
  2. Step 2: Convert to fraction form
    1,668,948/2,384,351 = 2,384,351/x
  3. Step 3: Cross multiply
    1,668,948x = 2,384,351 × 2,384,351
  4. Step 4: Simplify right side
    1,668,948x = 5,685,129,691,201
  5. Step 5: Solve for x
    x = 5,685,129,691,201/1,668,948
  6. Step 6: Final answer
    x = 3,406,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.