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Finding the Third Proportional to 695,421 and 1,490,647.50

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Solution

The third proportional to 695,421 and 1,490,647.50 is: 3,195,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,421 : 1,490,647.50 = 1,490,647.50 : x
  2. Step 2: Convert to fraction form
    695,421/1,490,647.50 = 1,490,647.50/x
  3. Step 3: Cross multiply
    695,421x = 1,490,647.50 × 1,490,647.50
  4. Step 4: Simplify right side
    695,421x = 2,222,029,969,256.25
  5. Step 5: Solve for x
    x = 2,222,029,969,256.25/695,421
  6. Step 6: Final answer
    x = 3,195,229.90

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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.