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Finding the Third Proportional to 1,037,284 and 2,125,774

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Solution

The third proportional to 1,037,284 and 2,125,774 is: 4,356,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,284 : 2,125,774 = 2,125,774 : x
  2. Step 2: Convert to fraction form
    1,037,284/2,125,774 = 2,125,774/x
  3. Step 3: Cross multiply
    1,037,284x = 2,125,774 × 2,125,774
  4. Step 4: Simplify right side
    1,037,284x = 4,518,915,099,076
  5. Step 5: Solve for x
    x = 4,518,915,099,076/1,037,284
  6. Step 6: Final answer
    x = 4,356,487.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.