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Finding the Third Proportional to 695,400 and 1,490,607

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Solution

The third proportional to 695,400 and 1,490,607 is: 3,195,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,400 : 1,490,607 = 1,490,607 : x
  2. Step 2: Convert to fraction form
    695,400/1,490,607 = 1,490,607/x
  3. Step 3: Cross multiply
    695,400x = 1,490,607 × 1,490,607
  4. Step 4: Simplify right side
    695,400x = 2,221,909,228,449
  5. Step 5: Solve for x
    x = 2,221,909,228,449/695,400
  6. Step 6: Final answer
    x = 3,195,152.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.