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Finding the Third Proportional to 1,622,724 and 2,569,542

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Solution

The third proportional to 1,622,724 and 2,569,542 is: 4,068,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622,724 : 2,569,542 = 2,569,542 : x
  2. Step 2: Convert to fraction form
    1,622,724/2,569,542 = 2,569,542/x
  3. Step 3: Cross multiply
    1,622,724x = 2,569,542 × 2,569,542
  4. Step 4: Simplify right side
    1,622,724x = 6,602,546,089,764
  5. Step 5: Solve for x
    x = 6,602,546,089,764/1,622,724
  6. Step 6: Final answer
    x = 4,068,804.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.