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Finding the Third Proportional to 1,534,362.75 and 2,271,807

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Solution

The third proportional to 1,534,362.75 and 2,271,807 is: 3,363,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,362.75 : 2,271,807 = 2,271,807 : x
  2. Step 2: Convert to fraction form
    1,534,362.75/2,271,807 = 2,271,807/x
  3. Step 3: Cross multiply
    1,534,362.75x = 2,271,807 × 2,271,807
  4. Step 4: Simplify right side
    1,534,362.75x = 5,161,107,045,249
  5. Step 5: Solve for x
    x = 5,161,107,045,249/1,534,362.75
  6. Step 6: Final answer
    x = 3,363,681.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.