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Finding the Third Proportional to 3,205,418 and 4,583,424

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Solution

The third proportional to 3,205,418 and 4,583,424 is: 6,553,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,418 : 4,583,424 = 4,583,424 : x
  2. Step 2: Convert to fraction form
    3,205,418/4,583,424 = 4,583,424/x
  3. Step 3: Cross multiply
    3,205,418x = 4,583,424 × 4,583,424
  4. Step 4: Simplify right side
    3,205,418x = 21,007,775,563,776
  5. Step 5: Solve for x
    x = 21,007,775,563,776/3,205,418
  6. Step 6: Final answer
    x = 6,553,833.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.