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Finding the Third Proportional to 416,356 and 891,715

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Solution

The third proportional to 416,356 and 891,715 is: 1,909,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,356 : 891,715 = 891,715 : x
  2. Step 2: Convert to fraction form
    416,356/891,715 = 891,715/x
  3. Step 3: Cross multiply
    416,356x = 891,715 × 891,715
  4. Step 4: Simplify right side
    416,356x = 795,155,641,225
  5. Step 5: Solve for x
    x = 795,155,641,225/416,356
  6. Step 6: Final answer
    x = 1,909,797.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.