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Finding the Third Proportional to 1,348,977 and 2,890,258.50

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Solution

The third proportional to 1,348,977 and 2,890,258.50 is: 6,192,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,977 : 2,890,258.50 = 2,890,258.50 : x
  2. Step 2: Convert to fraction form
    1,348,977/2,890,258.50 = 2,890,258.50/x
  3. Step 3: Cross multiply
    1,348,977x = 2,890,258.50 × 2,890,258.50
  4. Step 4: Simplify right side
    1,348,977x = 8,353,594,196,822.25
  5. Step 5: Solve for x
    x = 8,353,594,196,822.25/1,348,977
  6. Step 6: Final answer
    x = 6,192,540.12

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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.