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Finding the Third Proportional to 1,176,477 and 1,656,702

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Solution

The third proportional to 1,176,477 and 1,656,702 is: 2,332,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,477 : 1,656,702 = 1,656,702 : x
  2. Step 2: Convert to fraction form
    1,176,477/1,656,702 = 1,656,702/x
  3. Step 3: Cross multiply
    1,176,477x = 1,656,702 × 1,656,702
  4. Step 4: Simplify right side
    1,176,477x = 2,744,661,516,804
  5. Step 5: Solve for x
    x = 2,744,661,516,804/1,176,477
  6. Step 6: Final answer
    x = 2,332,949.57

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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.