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Finding the Third Proportional to 621,822 and 1,342,896

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Solution

The third proportional to 621,822 and 1,342,896 is: 2,900,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,822 : 1,342,896 = 1,342,896 : x
  2. Step 2: Convert to fraction form
    621,822/1,342,896 = 1,342,896/x
  3. Step 3: Cross multiply
    621,822x = 1,342,896 × 1,342,896
  4. Step 4: Simplify right side
    621,822x = 1,803,369,666,816
  5. Step 5: Solve for x
    x = 1,803,369,666,816/621,822
  6. Step 6: Final answer
    x = 2,900,138.09

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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.