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Finding the Third Proportional to 1,051,333.31 and 1,647,063.56

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Solution

The third proportional to 1,051,333.31 and 1,647,063.56 is: 2,580,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,333.31 : 1,647,063.56 = 1,647,063.56 : x
  2. Step 2: Convert to fraction form
    1,051,333.31/1,647,063.56 = 1,647,063.56/x
  3. Step 3: Cross multiply
    1,051,333.31x = 1,647,063.56 × 1,647,063.56
  4. Step 4: Simplify right side
    1,051,333.31x = 2,712,818,378,915.19
  5. Step 5: Solve for x
    x = 2,712,818,378,915.19/1,051,333.31
  6. Step 6: Final answer
    x = 2,580,359.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.