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Finding the Third Proportional to 654,060 and 1,402,692

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Solution

The third proportional to 654,060 and 1,402,692 is: 3,008,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,060 : 1,402,692 = 1,402,692 : x
  2. Step 2: Convert to fraction form
    654,060/1,402,692 = 1,402,692/x
  3. Step 3: Cross multiply
    654,060x = 1,402,692 × 1,402,692
  4. Step 4: Simplify right side
    654,060x = 1,967,544,846,864
  5. Step 5: Solve for x
    x = 1,967,544,846,864/654,060
  6. Step 6: Final answer
    x = 3,008,202.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.