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Finding the Third Proportional to 689,912 and 1,030,612

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Solution

The third proportional to 689,912 and 1,030,612 is: 1,539,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,912 : 1,030,612 = 1,030,612 : x
  2. Step 2: Convert to fraction form
    689,912/1,030,612 = 1,030,612/x
  3. Step 3: Cross multiply
    689,912x = 1,030,612 × 1,030,612
  4. Step 4: Simplify right side
    689,912x = 1,062,161,094,544
  5. Step 5: Solve for x
    x = 1,062,161,094,544/689,912
  6. Step 6: Final answer
    x = 1,539,560.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.