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Finding the Third Proportional to 2,314,336 and 4,741,424

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Solution

The third proportional to 2,314,336 and 4,741,424 is: 9,713,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,336 : 4,741,424 = 4,741,424 : x
  2. Step 2: Convert to fraction form
    2,314,336/4,741,424 = 4,741,424/x
  3. Step 3: Cross multiply
    2,314,336x = 4,741,424 × 4,741,424
  4. Step 4: Simplify right side
    2,314,336x = 22,481,101,547,776
  5. Step 5: Solve for x
    x = 22,481,101,547,776/2,314,336
  6. Step 6: Final answer
    x = 9,713,845.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.