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Finding the Third Proportional to 1,462,480 and 3,261,040

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Solution

The third proportional to 1,462,480 and 3,261,040 is: 7,271,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,480 : 3,261,040 = 3,261,040 : x
  2. Step 2: Convert to fraction form
    1,462,480/3,261,040 = 3,261,040/x
  3. Step 3: Cross multiply
    1,462,480x = 3,261,040 × 3,261,040
  4. Step 4: Simplify right side
    1,462,480x = 10,634,381,881,600
  5. Step 5: Solve for x
    x = 10,634,381,881,600/1,462,480
  6. Step 6: Final answer
    x = 7,271,471.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.