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Finding the Third Proportional to 2,036,707.50 and 4,240,830

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Solution

The third proportional to 2,036,707.50 and 4,240,830 is: 8,830,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,707.50 : 4,240,830 = 4,240,830 : x
  2. Step 2: Convert to fraction form
    2,036,707.50/4,240,830 = 4,240,830/x
  3. Step 3: Cross multiply
    2,036,707.50x = 4,240,830 × 4,240,830
  4. Step 4: Simplify right side
    2,036,707.50x = 17,984,639,088,900
  5. Step 5: Solve for x
    x = 17,984,639,088,900/2,036,707.50
  6. Step 6: Final answer
    x = 8,830,251.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.