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Finding the Third Proportional to 878,640 and 1,918,416

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Solution

The third proportional to 878,640 and 1,918,416 is: 4,188,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,640 : 1,918,416 = 1,918,416 : x
  2. Step 2: Convert to fraction form
    878,640/1,918,416 = 1,918,416/x
  3. Step 3: Cross multiply
    878,640x = 1,918,416 × 1,918,416
  4. Step 4: Simplify right side
    878,640x = 3,680,319,949,056
  5. Step 5: Solve for x
    x = 3,680,319,949,056/878,640
  6. Step 6: Final answer
    x = 4,188,655.14

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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.