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Finding the Third Proportional to 2,358,614 and 5,158,871

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Solution

The third proportional to 2,358,614 and 5,158,871 is: 11,283,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,614 : 5,158,871 = 5,158,871 : x
  2. Step 2: Convert to fraction form
    2,358,614/5,158,871 = 5,158,871/x
  3. Step 3: Cross multiply
    2,358,614x = 5,158,871 × 5,158,871
  4. Step 4: Simplify right side
    2,358,614x = 26,613,949,994,641
  5. Step 5: Solve for x
    x = 26,613,949,994,641/2,358,614
  6. Step 6: Final answer
    x = 11,283,724.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.