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Finding the Third Proportional to 1,533,343.50 and 2,405,502

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Solution

The third proportional to 1,533,343.50 and 2,405,502 is: 3,773,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,343.50 : 2,405,502 = 2,405,502 : x
  2. Step 2: Convert to fraction form
    1,533,343.50/2,405,502 = 2,405,502/x
  3. Step 3: Cross multiply
    1,533,343.50x = 2,405,502 × 2,405,502
  4. Step 4: Simplify right side
    1,533,343.50x = 5,786,439,872,004
  5. Step 5: Solve for x
    x = 5,786,439,872,004/1,533,343.50
  6. Step 6: Final answer
    x = 3,773,740.11

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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.