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Finding the Third Proportional to 1,024,805 and 1,459,855

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Solution

The third proportional to 1,024,805 and 1,459,855 is: 2,079,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,805 : 1,459,855 = 1,459,855 : x
  2. Step 2: Convert to fraction form
    1,024,805/1,459,855 = 1,459,855/x
  3. Step 3: Cross multiply
    1,024,805x = 1,459,855 × 1,459,855
  4. Step 4: Simplify right side
    1,024,805x = 2,131,176,621,025
  5. Step 5: Solve for x
    x = 2,131,176,621,025/1,024,805
  6. Step 6: Final answer
    x = 2,079,592.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.