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Finding the Third Proportional to 931,350 and 1,423,753

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Solution

The third proportional to 931,350 and 1,423,753 is: 2,176,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,350 : 1,423,753 = 1,423,753 : x
  2. Step 2: Convert to fraction form
    931,350/1,423,753 = 1,423,753/x
  3. Step 3: Cross multiply
    931,350x = 1,423,753 × 1,423,753
  4. Step 4: Simplify right side
    931,350x = 2,027,072,605,009
  5. Step 5: Solve for x
    x = 2,027,072,605,009/931,350
  6. Step 6: Final answer
    x = 2,176,488.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.