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Finding the Third Proportional to 695,734.59 and 1,496,646.84

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Solution

The third proportional to 695,734.59 and 1,496,646.84 is: 3,219,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,734.59 : 1,496,646.84 = 1,496,646.84 : x
  2. Step 2: Convert to fraction form
    695,734.59/1,496,646.84 = 1,496,646.84/x
  3. Step 3: Cross multiply
    695,734.59x = 1,496,646.84 × 1,496,646.84
  4. Step 4: Simplify right side
    695,734.59x = 2,239,951,774,906.84
  5. Step 5: Solve for x
    x = 2,239,951,774,906.84/695,734.59
  6. Step 6: Final answer
    x = 3,219,549.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.