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Finding the Third Proportional to 3,784,056.75 and 5,912,281.13

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Solution

The third proportional to 3,784,056.75 and 5,912,281.13 is: 9,237,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,056.75 : 5,912,281.13 = 5,912,281.13 : x
  2. Step 2: Convert to fraction form
    3,784,056.75/5,912,281.13 = 5,912,281.13/x
  3. Step 3: Cross multiply
    3,784,056.75x = 5,912,281.13 × 5,912,281.13
  4. Step 4: Simplify right side
    3,784,056.75x = 34,955,068,101,031.27
  5. Step 5: Solve for x
    x = 34,955,068,101,031.27/3,784,056.75
  6. Step 6: Final answer
    x = 9,237,458.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.