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Finding the Third Proportional to 2,014,047 and 3,073,666.50

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Solution

The third proportional to 2,014,047 and 3,073,666.50 is: 4,690,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,047 : 3,073,666.50 = 3,073,666.50 : x
  2. Step 2: Convert to fraction form
    2,014,047/3,073,666.50 = 3,073,666.50/x
  3. Step 3: Cross multiply
    2,014,047x = 3,073,666.50 × 3,073,666.50
  4. Step 4: Simplify right side
    2,014,047x = 9,447,425,753,222.25
  5. Step 5: Solve for x
    x = 9,447,425,753,222.25/2,014,047
  6. Step 6: Final answer
    x = 4,690,767.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.