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Finding the Third Proportional to 719,007 and 1,144,635.75

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Solution

The third proportional to 719,007 and 1,144,635.75 is: 1,822,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,007 : 1,144,635.75 = 1,144,635.75 : x
  2. Step 2: Convert to fraction form
    719,007/1,144,635.75 = 1,144,635.75/x
  3. Step 3: Cross multiply
    719,007x = 1,144,635.75 × 1,144,635.75
  4. Step 4: Simplify right side
    719,007x = 1,310,191,000,178.06
  5. Step 5: Solve for x
    x = 1,310,191,000,178.06/719,007
  6. Step 6: Final answer
    x = 1,822,222.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.