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Finding the Third Proportional to 3,421,254.52 and 4,783,123.41

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Solution

The third proportional to 3,421,254.52 and 4,783,123.41 is: 6,687,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,254.52 : 4,783,123.41 = 4,783,123.41 : x
  2. Step 2: Convert to fraction form
    3,421,254.52/4,783,123.41 = 4,783,123.41/x
  3. Step 3: Cross multiply
    3,421,254.52x = 4,783,123.41 × 4,783,123.41
  4. Step 4: Simplify right side
    3,421,254.52x = 22,878,269,519,416.60
  5. Step 5: Solve for x
    x = 22,878,269,519,416.60/3,421,254.52
  6. Step 6: Final answer
    x = 6,687,099.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.