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Finding the Third Proportional to 841,418 and 1,846,132

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Solution

The third proportional to 841,418 and 1,846,132 is: 4,050,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,418 : 1,846,132 = 1,846,132 : x
  2. Step 2: Convert to fraction form
    841,418/1,846,132 = 1,846,132/x
  3. Step 3: Cross multiply
    841,418x = 1,846,132 × 1,846,132
  4. Step 4: Simplify right side
    841,418x = 3,408,203,361,424
  5. Step 5: Solve for x
    x = 3,408,203,361,424/841,418
  6. Step 6: Final answer
    x = 4,050,547.24

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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.