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Finding the Third Proportional to 841,572 and 1,183,734

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Solution

The third proportional to 841,572 and 1,183,734 is: 1,665,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,572 : 1,183,734 = 1,183,734 : x
  2. Step 2: Convert to fraction form
    841,572/1,183,734 = 1,183,734/x
  3. Step 3: Cross multiply
    841,572x = 1,183,734 × 1,183,734
  4. Step 4: Simplify right side
    841,572x = 1,401,226,182,756
  5. Step 5: Solve for x
    x = 1,401,226,182,756/841,572
  6. Step 6: Final answer
    x = 1,665,010.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.