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Finding the Third Proportional to 1,029,840 and 2,242,758

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Solution

The third proportional to 1,029,840 and 2,242,758 is: 4,884,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,840 : 2,242,758 = 2,242,758 : x
  2. Step 2: Convert to fraction form
    1,029,840/2,242,758 = 2,242,758/x
  3. Step 3: Cross multiply
    1,029,840x = 2,242,758 × 2,242,758
  4. Step 4: Simplify right side
    1,029,840x = 5,029,963,446,564
  5. Step 5: Solve for x
    x = 5,029,963,446,564/1,029,840
  6. Step 6: Final answer
    x = 4,884,218.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.