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Finding the Third Proportional to 4,023,259.88 and 6,019,056.84

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Solution

The third proportional to 4,023,259.88 and 6,019,056.84 is: 9,004,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023,259.88 : 6,019,056.84 = 6,019,056.84 : x
  2. Step 2: Convert to fraction form
    4,023,259.88/6,019,056.84 = 6,019,056.84/x
  3. Step 3: Cross multiply
    4,023,259.88x = 6,019,056.84 × 6,019,056.84
  4. Step 4: Simplify right side
    4,023,259.88x = 36,229,045,288,293.71
  5. Step 5: Solve for x
    x = 36,229,045,288,293.71/4,023,259.88
  6. Step 6: Final answer
    x = 9,004,898.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.