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Finding the Third Proportional to 1,353,462 and 1,904,293.50

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Solution

The third proportional to 1,353,462 and 1,904,293.50 is: 2,679,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,462 : 1,904,293.50 = 1,904,293.50 : x
  2. Step 2: Convert to fraction form
    1,353,462/1,904,293.50 = 1,904,293.50/x
  3. Step 3: Cross multiply
    1,353,462x = 1,904,293.50 × 1,904,293.50
  4. Step 4: Simplify right side
    1,353,462x = 3,626,333,734,142.25
  5. Step 5: Solve for x
    x = 3,626,333,734,142.25/1,353,462
  6. Step 6: Final answer
    x = 2,679,302.21

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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.