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Finding the Third Proportional to 1,035,729 and 2,215,377

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Solution

The third proportional to 1,035,729 and 2,215,377 is: 4,738,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,729 : 2,215,377 = 2,215,377 : x
  2. Step 2: Convert to fraction form
    1,035,729/2,215,377 = 2,215,377/x
  3. Step 3: Cross multiply
    1,035,729x = 2,215,377 × 2,215,377
  4. Step 4: Simplify right side
    1,035,729x = 4,907,895,252,129
  5. Step 5: Solve for x
    x = 4,907,895,252,129/1,035,729
  6. Step 6: Final answer
    x = 4,738,590.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.