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Finding the Third Proportional to 1,598,433.19 and 3,424,861.13

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Solution

The third proportional to 1,598,433.19 and 3,424,861.13 is: 7,338,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,433.19 : 3,424,861.13 = 3,424,861.13 : x
  2. Step 2: Convert to fraction form
    1,598,433.19/3,424,861.13 = 3,424,861.13/x
  3. Step 3: Cross multiply
    1,598,433.19x = 3,424,861.13 × 3,424,861.13
  4. Step 4: Simplify right side
    1,598,433.19x = 11,729,673,725,536.27
  5. Step 5: Solve for x
    x = 11,729,673,725,536.27/1,598,433.19
  6. Step 6: Final answer
    x = 7,338,232.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.