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Finding the Third Proportional to 2,037,216 and 4,317,276

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Solution

The third proportional to 2,037,216 and 4,317,276 is: 9,149,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,216 : 4,317,276 = 4,317,276 : x
  2. Step 2: Convert to fraction form
    2,037,216/4,317,276 = 4,317,276/x
  3. Step 3: Cross multiply
    2,037,216x = 4,317,276 × 4,317,276
  4. Step 4: Simplify right side
    2,037,216x = 18,638,872,060,176
  5. Step 5: Solve for x
    x = 18,638,872,060,176/2,037,216
  6. Step 6: Final answer
    x = 9,149,187.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.