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Finding the Third Proportional to 1,542,584 and 2,372,536

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Solution

The third proportional to 1,542,584 and 2,372,536 is: 3,649,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,584 : 2,372,536 = 2,372,536 : x
  2. Step 2: Convert to fraction form
    1,542,584/2,372,536 = 2,372,536/x
  3. Step 3: Cross multiply
    1,542,584x = 2,372,536 × 2,372,536
  4. Step 4: Simplify right side
    1,542,584x = 5,628,927,071,296
  5. Step 5: Solve for x
    x = 5,628,927,071,296/1,542,584
  6. Step 6: Final answer
    x = 3,649,024.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.