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Finding the Third Proportional to 740,140 and 1,538,457

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Solution

The third proportional to 740,140 and 1,538,457 is: 3,197,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,140 : 1,538,457 = 1,538,457 : x
  2. Step 2: Convert to fraction form
    740,140/1,538,457 = 1,538,457/x
  3. Step 3: Cross multiply
    740,140x = 1,538,457 × 1,538,457
  4. Step 4: Simplify right side
    740,140x = 2,366,849,940,849
  5. Step 5: Solve for x
    x = 2,366,849,940,849/740,140
  6. Step 6: Final answer
    x = 3,197,840.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.