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Finding the Third Proportional to 2,716,014.16 and 4,074,345.56

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Solution

The third proportional to 2,716,014.16 and 4,074,345.56 is: 6,112,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,014.16 : 4,074,345.56 = 4,074,345.56 : x
  2. Step 2: Convert to fraction form
    2,716,014.16/4,074,345.56 = 4,074,345.56/x
  3. Step 3: Cross multiply
    2,716,014.16x = 4,074,345.56 × 4,074,345.56
  4. Step 4: Simplify right side
    2,716,014.16x = 16,600,291,762,663.44
  5. Step 5: Solve for x
    x = 16,600,291,762,663.44/2,716,014.16
  6. Step 6: Final answer
    x = 6,112,004.86

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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.