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Finding the Third Proportional to 695,744 and 1,510,460

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Solution

The third proportional to 695,744 and 1,510,460 is: 3,279,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,744 : 1,510,460 = 1,510,460 : x
  2. Step 2: Convert to fraction form
    695,744/1,510,460 = 1,510,460/x
  3. Step 3: Cross multiply
    695,744x = 1,510,460 × 1,510,460
  4. Step 4: Simplify right side
    695,744x = 2,281,489,411,600
  5. Step 5: Solve for x
    x = 2,281,489,411,600/695,744
  6. Step 6: Final answer
    x = 3,279,208.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.