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Finding the Third Proportional to 705,624 and 1,551,709.50

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Solution

The third proportional to 705,624 and 1,551,709.50 is: 3,412,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,624 : 1,551,709.50 = 1,551,709.50 : x
  2. Step 2: Convert to fraction form
    705,624/1,551,709.50 = 1,551,709.50/x
  3. Step 3: Cross multiply
    705,624x = 1,551,709.50 × 1,551,709.50
  4. Step 4: Simplify right side
    705,624x = 2,407,802,372,390.25
  5. Step 5: Solve for x
    x = 2,407,802,372,390.25/705,624
  6. Step 6: Final answer
    x = 3,412,302.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.