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Finding the Third Proportional to 1,840,965 and 3,937,783

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Solution

The third proportional to 1,840,965 and 3,937,783 is: 8,422,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,965 : 3,937,783 = 3,937,783 : x
  2. Step 2: Convert to fraction form
    1,840,965/3,937,783 = 3,937,783/x
  3. Step 3: Cross multiply
    1,840,965x = 3,937,783 × 3,937,783
  4. Step 4: Simplify right side
    1,840,965x = 15,506,134,955,089
  5. Step 5: Solve for x
    x = 15,506,134,955,089/1,840,965
  6. Step 6: Final answer
    x = 8,422,829.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.