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Finding the Third Proportional to 3,231,355.50 and 4,784,643

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Solution

The third proportional to 3,231,355.50 and 4,784,643 is: 7,084,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,355.50 : 4,784,643 = 4,784,643 : x
  2. Step 2: Convert to fraction form
    3,231,355.50/4,784,643 = 4,784,643/x
  3. Step 3: Cross multiply
    3,231,355.50x = 4,784,643 × 4,784,643
  4. Step 4: Simplify right side
    3,231,355.50x = 22,892,808,637,449
  5. Step 5: Solve for x
    x = 22,892,808,637,449/3,231,355.50
  6. Step 6: Final answer
    x = 7,084,583.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.