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Finding the Third Proportional to 1,353,462.75 and 1,904,294.63

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Solution

The third proportional to 1,353,462.75 and 1,904,294.63 is: 2,679,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,462.75 : 1,904,294.63 = 1,904,294.63 : x
  2. Step 2: Convert to fraction form
    1,353,462.75/1,904,294.63 = 1,904,294.63/x
  3. Step 3: Cross multiply
    1,353,462.75x = 1,904,294.63 × 1,904,294.63
  4. Step 4: Simplify right side
    1,353,462.75x = 3,626,338,018,803.89
  5. Step 5: Solve for x
    x = 3,626,338,018,803.89/1,353,462.75
  6. Step 6: Final answer
    x = 2,679,303.90

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Why These Related Problems?

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