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Finding the Third Proportional to 647,210.25 and 1,408,050

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Solution

The third proportional to 647,210.25 and 1,408,050 is: 3,063,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,210.25 : 1,408,050 = 1,408,050 : x
  2. Step 2: Convert to fraction form
    647,210.25/1,408,050 = 1,408,050/x
  3. Step 3: Cross multiply
    647,210.25x = 1,408,050 × 1,408,050
  4. Step 4: Simplify right side
    647,210.25x = 1,982,604,802,500
  5. Step 5: Solve for x
    x = 1,982,604,802,500/647,210.25
  6. Step 6: Final answer
    x = 3,063,308.72

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