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Finding the Third Proportional to 787,216 and 1,716,878

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Solution

The third proportional to 787,216 and 1,716,878 is: 3,744,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,216 : 1,716,878 = 1,716,878 : x
  2. Step 2: Convert to fraction form
    787,216/1,716,878 = 1,716,878/x
  3. Step 3: Cross multiply
    787,216x = 1,716,878 × 1,716,878
  4. Step 4: Simplify right side
    787,216x = 2,947,670,066,884
  5. Step 5: Solve for x
    x = 2,947,670,066,884/787,216
  6. Step 6: Final answer
    x = 3,744,423.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.