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Finding the Third Proportional to 1,949,768 and 4,207,813

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Solution

The third proportional to 1,949,768 and 4,207,813 is: 9,080,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,768 : 4,207,813 = 4,207,813 : x
  2. Step 2: Convert to fraction form
    1,949,768/4,207,813 = 4,207,813/x
  3. Step 3: Cross multiply
    1,949,768x = 4,207,813 × 4,207,813
  4. Step 4: Simplify right side
    1,949,768x = 17,705,690,242,969
  5. Step 5: Solve for x
    x = 17,705,690,242,969/1,949,768
  6. Step 6: Final answer
    x = 9,080,921.55

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