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Finding the Third Proportional to 621,866 and 1,342,984

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Solution

The third proportional to 621,866 and 1,342,984 is: 2,900,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,866 : 1,342,984 = 1,342,984 : x
  2. Step 2: Convert to fraction form
    621,866/1,342,984 = 1,342,984/x
  3. Step 3: Cross multiply
    621,866x = 1,342,984 × 1,342,984
  4. Step 4: Simplify right side
    621,866x = 1,803,606,024,256
  5. Step 5: Solve for x
    x = 1,803,606,024,256/621,866
  6. Step 6: Final answer
    x = 2,900,312.97

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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.