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Finding the Third Proportional to 709,812 and 1,073,190

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Solution

The third proportional to 709,812 and 1,073,190 is: 1,622,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,812 : 1,073,190 = 1,073,190 : x
  2. Step 2: Convert to fraction form
    709,812/1,073,190 = 1,073,190/x
  3. Step 3: Cross multiply
    709,812x = 1,073,190 × 1,073,190
  4. Step 4: Simplify right side
    709,812x = 1,151,736,776,100
  5. Step 5: Solve for x
    x = 1,151,736,776,100/709,812
  6. Step 6: Final answer
    x = 1,622,594.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.