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Finding the Third Proportional to 2,178,370.50 and 4,734,537

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Solution

The third proportional to 2,178,370.50 and 4,734,537 is: 10,290,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,370.50 : 4,734,537 = 4,734,537 : x
  2. Step 2: Convert to fraction form
    2,178,370.50/4,734,537 = 4,734,537/x
  3. Step 3: Cross multiply
    2,178,370.50x = 4,734,537 × 4,734,537
  4. Step 4: Simplify right side
    2,178,370.50x = 22,415,840,604,369
  5. Step 5: Solve for x
    x = 22,415,840,604,369/2,178,370.50
  6. Step 6: Final answer
    x = 10,290,187.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.