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Finding the Third Proportional to 873,038 and 1,345,593

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Solution

The third proportional to 873,038 and 1,345,593 is: 2,073,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,038 : 1,345,593 = 1,345,593 : x
  2. Step 2: Convert to fraction form
    873,038/1,345,593 = 1,345,593/x
  3. Step 3: Cross multiply
    873,038x = 1,345,593 × 1,345,593
  4. Step 4: Simplify right side
    873,038x = 1,810,620,521,649
  5. Step 5: Solve for x
    x = 1,810,620,521,649/873,038
  6. Step 6: Final answer
    x = 2,073,930.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.