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Finding the Third Proportional to 787,438 and 1,627,368

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Solution

The third proportional to 787,438 and 1,627,368 is: 3,363,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,438 : 1,627,368 = 1,627,368 : x
  2. Step 2: Convert to fraction form
    787,438/1,627,368 = 1,627,368/x
  3. Step 3: Cross multiply
    787,438x = 1,627,368 × 1,627,368
  4. Step 4: Simplify right side
    787,438x = 2,648,326,607,424
  5. Step 5: Solve for x
    x = 2,648,326,607,424/787,438
  6. Step 6: Final answer
    x = 3,363,219.21

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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.