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Finding the Third Proportional to 785,376 and 1,719,900

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Solution

The third proportional to 785,376 and 1,719,900 is: 3,766,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,376 : 1,719,900 = 1,719,900 : x
  2. Step 2: Convert to fraction form
    785,376/1,719,900 = 1,719,900/x
  3. Step 3: Cross multiply
    785,376x = 1,719,900 × 1,719,900
  4. Step 4: Simplify right side
    785,376x = 2,958,056,010,000
  5. Step 5: Solve for x
    x = 2,958,056,010,000/785,376
  6. Step 6: Final answer
    x = 3,766,420.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.