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Finding the Third Proportional to 695,439 and 1,465,600

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Solution

The third proportional to 695,439 and 1,465,600 is: 3,088,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,439 : 1,465,600 = 1,465,600 : x
  2. Step 2: Convert to fraction form
    695,439/1,465,600 = 1,465,600/x
  3. Step 3: Cross multiply
    695,439x = 1,465,600 × 1,465,600
  4. Step 4: Simplify right side
    695,439x = 2,147,983,360,000
  5. Step 5: Solve for x
    x = 2,147,983,360,000/695,439
  6. Step 6: Final answer
    x = 3,088,672.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.