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Finding the Third Proportional to 1,357,573.50 and 2,004,679.13

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Solution

The third proportional to 1,357,573.50 and 2,004,679.13 is: 2,960,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,573.50 : 2,004,679.13 = 2,004,679.13 : x
  2. Step 2: Convert to fraction form
    1,357,573.50/2,004,679.13 = 2,004,679.13/x
  3. Step 3: Cross multiply
    1,357,573.50x = 2,004,679.13 × 2,004,679.13
  4. Step 4: Simplify right side
    1,357,573.50x = 4,018,738,394,210.77
  5. Step 5: Solve for x
    x = 4,018,738,394,210.77/1,357,573.50
  6. Step 6: Final answer
    x = 2,960,236.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.