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Finding the Third Proportional to 787,436 and 1,627,364

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Solution

The third proportional to 787,436 and 1,627,364 is: 3,363,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,436 : 1,627,364 = 1,627,364 : x
  2. Step 2: Convert to fraction form
    787,436/1,627,364 = 1,627,364/x
  3. Step 3: Cross multiply
    787,436x = 1,627,364 × 1,627,364
  4. Step 4: Simplify right side
    787,436x = 2,648,313,588,496
  5. Step 5: Solve for x
    x = 2,648,313,588,496/787,436
  6. Step 6: Final answer
    x = 3,363,211.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.