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Finding the Third Proportional to 1,117,716 and 1,772,767

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Solution

The third proportional to 1,117,716 and 1,772,767 is: 2,811,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,716 : 1,772,767 = 1,772,767 : x
  2. Step 2: Convert to fraction form
    1,117,716/1,772,767 = 1,772,767/x
  3. Step 3: Cross multiply
    1,117,716x = 1,772,767 × 1,772,767
  4. Step 4: Simplify right side
    1,117,716x = 3,142,702,836,289
  5. Step 5: Solve for x
    x = 3,142,702,836,289/1,117,716
  6. Step 6: Final answer
    x = 2,811,718.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.