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Finding the Third Proportional to 747,000 and 1,073,844

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Solution

The third proportional to 747,000 and 1,073,844 is: 1,543,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,000 : 1,073,844 = 1,073,844 : x
  2. Step 2: Convert to fraction form
    747,000/1,073,844 = 1,073,844/x
  3. Step 3: Cross multiply
    747,000x = 1,073,844 × 1,073,844
  4. Step 4: Simplify right side
    747,000x = 1,153,140,936,336
  5. Step 5: Solve for x
    x = 1,153,140,936,336/747,000
  6. Step 6: Final answer
    x = 1,543,696.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.