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Finding the Third Proportional to 593,774 and 1,294,110

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Solution

The third proportional to 593,774 and 1,294,110 is: 2,820,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,774 : 1,294,110 = 1,294,110 : x
  2. Step 2: Convert to fraction form
    593,774/1,294,110 = 1,294,110/x
  3. Step 3: Cross multiply
    593,774x = 1,294,110 × 1,294,110
  4. Step 4: Simplify right side
    593,774x = 1,674,720,692,100
  5. Step 5: Solve for x
    x = 1,674,720,692,100/593,774
  6. Step 6: Final answer
    x = 2,820,468.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.