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Finding the Third Proportional to 2,735,444.50 and 4,290,952.75

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Solution

The third proportional to 2,735,444.50 and 4,290,952.75 is: 6,730,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,444.50 : 4,290,952.75 = 4,290,952.75 : x
  2. Step 2: Convert to fraction form
    2,735,444.50/4,290,952.75 = 4,290,952.75/x
  3. Step 3: Cross multiply
    2,735,444.50x = 4,290,952.75 × 4,290,952.75
  4. Step 4: Simplify right side
    2,735,444.50x = 18,412,275,502,732.56
  5. Step 5: Solve for x
    x = 18,412,275,502,732.56/2,735,444.50
  6. Step 6: Final answer
    x = 6,730,999.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.