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Finding the Third Proportional to 542,412 and 1,166,457

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Solution

The third proportional to 542,412 and 1,166,457 is: 2,508,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,412 : 1,166,457 = 1,166,457 : x
  2. Step 2: Convert to fraction form
    542,412/1,166,457 = 1,166,457/x
  3. Step 3: Cross multiply
    542,412x = 1,166,457 × 1,166,457
  4. Step 4: Simplify right side
    542,412x = 1,360,621,932,849
  5. Step 5: Solve for x
    x = 1,360,621,932,849/542,412
  6. Step 6: Final answer
    x = 2,508,465.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.