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Finding the Third Proportional to 1,353,202.50 and 2,818,356

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Solution

The third proportional to 1,353,202.50 and 2,818,356 is: 5,869,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,202.50 : 2,818,356 = 2,818,356 : x
  2. Step 2: Convert to fraction form
    1,353,202.50/2,818,356 = 2,818,356/x
  3. Step 3: Cross multiply
    1,353,202.50x = 2,818,356 × 2,818,356
  4. Step 4: Simplify right side
    1,353,202.50x = 7,943,130,542,736
  5. Step 5: Solve for x
    x = 7,943,130,542,736/1,353,202.50
  6. Step 6: Final answer
    x = 5,869,875.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.