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Finding the Third Proportional to 695,509 and 1,465,740

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Solution

The third proportional to 695,509 and 1,465,740 is: 3,088,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,509 : 1,465,740 = 1,465,740 : x
  2. Step 2: Convert to fraction form
    695,509/1,465,740 = 1,465,740/x
  3. Step 3: Cross multiply
    695,509x = 1,465,740 × 1,465,740
  4. Step 4: Simplify right side
    695,509x = 2,148,393,747,600
  5. Step 5: Solve for x
    x = 2,148,393,747,600/695,509
  6. Step 6: Final answer
    x = 3,088,951.76

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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.