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Finding the Third Proportional to 1,435,694.31 and 2,224,127.74

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Solution

The third proportional to 1,435,694.31 and 2,224,127.74 is: 3,445,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,694.31 : 2,224,127.74 = 2,224,127.74 : x
  2. Step 2: Convert to fraction form
    1,435,694.31/2,224,127.74 = 2,224,127.74/x
  3. Step 3: Cross multiply
    1,435,694.31x = 2,224,127.74 × 2,224,127.74
  4. Step 4: Simplify right side
    1,435,694.31x = 4,946,744,213,568.07
  5. Step 5: Solve for x
    x = 4,946,744,213,568.07/1,435,694.31
  6. Step 6: Final answer
    x = 3,445,541.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.