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Finding the Third Proportional to 1,997,783 and 4,314,787

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Solution

The third proportional to 1,997,783 and 4,314,787 is: 9,319,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,783 : 4,314,787 = 4,314,787 : x
  2. Step 2: Convert to fraction form
    1,997,783/4,314,787 = 4,314,787/x
  3. Step 3: Cross multiply
    1,997,783x = 4,314,787 × 4,314,787
  4. Step 4: Simplify right side
    1,997,783x = 18,617,386,855,369
  5. Step 5: Solve for x
    x = 18,617,386,855,369/1,997,783
  6. Step 6: Final answer
    x = 9,319,023.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.