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Finding the Third Proportional to 787,584 and 1,717,716

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Solution

The third proportional to 787,584 and 1,717,716 is: 3,746,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,584 : 1,717,716 = 1,717,716 : x
  2. Step 2: Convert to fraction form
    787,584/1,717,716 = 1,717,716/x
  3. Step 3: Cross multiply
    787,584x = 1,717,716 × 1,717,716
  4. Step 4: Simplify right side
    787,584x = 2,950,548,256,656
  5. Step 5: Solve for x
    x = 2,950,548,256,656/787,584
  6. Step 6: Final answer
    x = 3,746,328.34

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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.