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Finding the Third Proportional to 1,176,471 and 1,656,693

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Solution

The third proportional to 1,176,471 and 1,656,693 is: 2,332,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,471 : 1,656,693 = 1,656,693 : x
  2. Step 2: Convert to fraction form
    1,176,471/1,656,693 = 1,656,693/x
  3. Step 3: Cross multiply
    1,176,471x = 1,656,693 × 1,656,693
  4. Step 4: Simplify right side
    1,176,471x = 2,744,631,696,249
  5. Step 5: Solve for x
    x = 2,744,631,696,249/1,176,471
  6. Step 6: Final answer
    x = 2,332,936.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.