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Finding the Third Proportional to 940,543 and 2,057,774

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Solution

The third proportional to 940,543 and 2,057,774 is: 4,502,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,543 : 2,057,774 = 2,057,774 : x
  2. Step 2: Convert to fraction form
    940,543/2,057,774 = 2,057,774/x
  3. Step 3: Cross multiply
    940,543x = 2,057,774 × 2,057,774
  4. Step 4: Simplify right side
    940,543x = 4,234,433,835,076
  5. Step 5: Solve for x
    x = 4,234,433,835,076/940,543
  6. Step 6: Final answer
    x = 4,502,116.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.