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Finding the Third Proportional to 528,438 and 1,247,216

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Solution

The third proportional to 528,438 and 1,247,216 is: 2,943,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,438 : 1,247,216 = 1,247,216 : x
  2. Step 2: Convert to fraction form
    528,438/1,247,216 = 1,247,216/x
  3. Step 3: Cross multiply
    528,438x = 1,247,216 × 1,247,216
  4. Step 4: Simplify right side
    528,438x = 1,555,547,750,656
  5. Step 5: Solve for x
    x = 1,555,547,750,656/528,438
  6. Step 6: Final answer
    x = 2,943,671.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.