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Finding the Third Proportional to 2,000,783 and 4,382,830

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Solution

The third proportional to 2,000,783 and 4,382,830 is: 9,600,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,783 : 4,382,830 = 4,382,830 : x
  2. Step 2: Convert to fraction form
    2,000,783/4,382,830 = 4,382,830/x
  3. Step 3: Cross multiply
    2,000,783x = 4,382,830 × 4,382,830
  4. Step 4: Simplify right side
    2,000,783x = 19,209,198,808,900
  5. Step 5: Solve for x
    x = 19,209,198,808,900/2,000,783
  6. Step 6: Final answer
    x = 9,600,840.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.