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Finding the Third Proportional to 1,092,165.19 and 1,709,533.69

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Solution

The third proportional to 1,092,165.19 and 1,709,533.69 is: 2,675,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,165.19 : 1,709,533.69 = 1,709,533.69 : x
  2. Step 2: Convert to fraction form
    1,092,165.19/1,709,533.69 = 1,709,533.69/x
  3. Step 3: Cross multiply
    1,092,165.19x = 1,709,533.69 × 1,709,533.69
  4. Step 4: Simplify right side
    1,092,165.19x = 2,922,505,428,697.35
  5. Step 5: Solve for x
    x = 2,922,505,428,697.35/1,092,165.19
  6. Step 6: Final answer
    x = 2,675,882.24

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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.