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Finding the Third Proportional to 2,029,734 and 4,416,784

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Solution

The third proportional to 2,029,734 and 4,416,784 is: 9,611,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,734 : 4,416,784 = 4,416,784 : x
  2. Step 2: Convert to fraction form
    2,029,734/4,416,784 = 4,416,784/x
  3. Step 3: Cross multiply
    2,029,734x = 4,416,784 × 4,416,784
  4. Step 4: Simplify right side
    2,029,734x = 19,507,980,902,656
  5. Step 5: Solve for x
    x = 19,507,980,902,656/2,029,734
  6. Step 6: Final answer
    x = 9,611,102.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.