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Finding the Third Proportional to 578,746.50 and 1,269,546

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Solution

The third proportional to 578,746.50 and 1,269,546 is: 2,784,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,746.50 : 1,269,546 = 1,269,546 : x
  2. Step 2: Convert to fraction form
    578,746.50/1,269,546 = 1,269,546/x
  3. Step 3: Cross multiply
    578,746.50x = 1,269,546 × 1,269,546
  4. Step 4: Simplify right side
    578,746.50x = 1,611,747,046,116
  5. Step 5: Solve for x
    x = 1,611,747,046,116/578,746.50
  6. Step 6: Final answer
    x = 2,784,892.95

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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.