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Finding the Third Proportional to 1,176,001 and 1,656,124

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Solution

The third proportional to 1,176,001 and 1,656,124 is: 2,332,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,001 : 1,656,124 = 1,656,124 : x
  2. Step 2: Convert to fraction form
    1,176,001/1,656,124 = 1,656,124/x
  3. Step 3: Cross multiply
    1,176,001x = 1,656,124 × 1,656,124
  4. Step 4: Simplify right side
    1,176,001x = 2,742,746,703,376
  5. Step 5: Solve for x
    x = 2,742,746,703,376/1,176,001
  6. Step 6: Final answer
    x = 2,332,265.62

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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.