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Finding the Third Proportional to 1,348,123.50 and 1,896,223.50

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Solution

The third proportional to 1,348,123.50 and 1,896,223.50 is: 2,667,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,123.50 : 1,896,223.50 = 1,896,223.50 : x
  2. Step 2: Convert to fraction form
    1,348,123.50/1,896,223.50 = 1,896,223.50/x
  3. Step 3: Cross multiply
    1,348,123.50x = 1,896,223.50 × 1,896,223.50
  4. Step 4: Simplify right side
    1,348,123.50x = 3,595,663,561,952.25
  5. Step 5: Solve for x
    x = 3,595,663,561,952.25/1,348,123.50
  6. Step 6: Final answer
    x = 2,667,161.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.