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Finding the Third Proportional to 452,298 and 941,812.50

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Solution

The third proportional to 452,298 and 941,812.50 is: 1,961,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,298 : 941,812.50 = 941,812.50 : x
  2. Step 2: Convert to fraction form
    452,298/941,812.50 = 941,812.50/x
  3. Step 3: Cross multiply
    452,298x = 941,812.50 × 941,812.50
  4. Step 4: Simplify right side
    452,298x = 887,010,785,156.25
  5. Step 5: Solve for x
    x = 887,010,785,156.25/452,298
  6. Step 6: Final answer
    x = 1,961,120.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.