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Finding the Third Proportional to 3,251,840 and 4,830,594

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Solution

The third proportional to 3,251,840 and 4,830,594 is: 7,175,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,840 : 4,830,594 = 4,830,594 : x
  2. Step 2: Convert to fraction form
    3,251,840/4,830,594 = 4,830,594/x
  3. Step 3: Cross multiply
    3,251,840x = 4,830,594 × 4,830,594
  4. Step 4: Simplify right side
    3,251,840x = 23,334,638,392,836
  5. Step 5: Solve for x
    x = 23,334,638,392,836/3,251,840
  6. Step 6: Final answer
    x = 7,175,826.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.