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Finding the Third Proportional to 1,457,287 and 2,037,848

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Solution

The third proportional to 1,457,287 and 2,037,848 is: 2,849,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,287 : 2,037,848 = 2,037,848 : x
  2. Step 2: Convert to fraction form
    1,457,287/2,037,848 = 2,037,848/x
  3. Step 3: Cross multiply
    1,457,287x = 2,037,848 × 2,037,848
  4. Step 4: Simplify right side
    1,457,287x = 4,152,824,471,104
  5. Step 5: Solve for x
    x = 4,152,824,471,104/1,457,287
  6. Step 6: Final answer
    x = 2,849,695.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.