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Finding the Third Proportional to 628,615.69 and 1,357,671.38

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Solution

The third proportional to 628,615.69 and 1,357,671.38 is: 2,932,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,615.69 : 1,357,671.38 = 1,357,671.38 : x
  2. Step 2: Convert to fraction form
    628,615.69/1,357,671.38 = 1,357,671.38/x
  3. Step 3: Cross multiply
    628,615.69x = 1,357,671.38 × 1,357,671.38
  4. Step 4: Simplify right side
    628,615.69x = 1,843,271,562,494.39
  5. Step 5: Solve for x
    x = 1,843,271,562,494.39/628,615.69
  6. Step 6: Final answer
    x = 2,932,271.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.