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Finding the Third Proportional to 741,457 and 1,535,384

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Solution

The third proportional to 741,457 and 1,535,384 is: 3,179,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,457 : 1,535,384 = 1,535,384 : x
  2. Step 2: Convert to fraction form
    741,457/1,535,384 = 1,535,384/x
  3. Step 3: Cross multiply
    741,457x = 1,535,384 × 1,535,384
  4. Step 4: Simplify right side
    741,457x = 2,357,404,027,456
  5. Step 5: Solve for x
    x = 2,357,404,027,456/741,457
  6. Step 6: Final answer
    x = 3,179,421.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.