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Finding the Third Proportional to 2,314,377 and 4,741,506

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Solution

The third proportional to 2,314,377 and 4,741,506 is: 9,714,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,377 : 4,741,506 = 4,741,506 : x
  2. Step 2: Convert to fraction form
    2,314,377/4,741,506 = 4,741,506/x
  3. Step 3: Cross multiply
    2,314,377x = 4,741,506 × 4,741,506
  4. Step 4: Simplify right side
    2,314,377x = 22,481,879,148,036
  5. Step 5: Solve for x
    x = 22,481,879,148,036/2,314,377
  6. Step 6: Final answer
    x = 9,714,009.06

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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.