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Finding the Third Proportional to 841,242 and 1,834,742

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Solution

The third proportional to 841,242 and 1,834,742 is: 4,001,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,242 : 1,834,742 = 1,834,742 : x
  2. Step 2: Convert to fraction form
    841,242/1,834,742 = 1,834,742/x
  3. Step 3: Cross multiply
    841,242x = 1,834,742 × 1,834,742
  4. Step 4: Simplify right side
    841,242x = 3,366,278,206,564
  5. Step 5: Solve for x
    x = 3,366,278,206,564/841,242
  6. Step 6: Final answer
    x = 4,001,557.47

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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.