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Finding the Third Proportional to 654,426 and 1,427,112

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Solution

The third proportional to 654,426 and 1,427,112 is: 3,112,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,426 : 1,427,112 = 1,427,112 : x
  2. Step 2: Convert to fraction form
    654,426/1,427,112 = 1,427,112/x
  3. Step 3: Cross multiply
    654,426x = 1,427,112 × 1,427,112
  4. Step 4: Simplify right side
    654,426x = 2,036,648,660,544
  5. Step 5: Solve for x
    x = 2,036,648,660,544/654,426
  6. Step 6: Final answer
    x = 3,112,114.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.