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Finding the Third Proportional to 957,813.75 and 1,440,743.06

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Solution

The third proportional to 957,813.75 and 1,440,743.06 is: 2,167,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,813.75 : 1,440,743.06 = 1,440,743.06 : x
  2. Step 2: Convert to fraction form
    957,813.75/1,440,743.06 = 1,440,743.06/x
  3. Step 3: Cross multiply
    957,813.75x = 1,440,743.06 × 1,440,743.06
  4. Step 4: Simplify right side
    957,813.75x = 2,075,740,572,141.88
  5. Step 5: Solve for x
    x = 2,075,740,572,141.88/957,813.75
  6. Step 6: Final answer
    x = 2,167,165.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.