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Finding the Third Proportional to 501,770 and 1,213,583

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Solution

The third proportional to 501,770 and 1,213,583 is: 2,935,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,770 : 1,213,583 = 1,213,583 : x
  2. Step 2: Convert to fraction form
    501,770/1,213,583 = 1,213,583/x
  3. Step 3: Cross multiply
    501,770x = 1,213,583 × 1,213,583
  4. Step 4: Simplify right side
    501,770x = 1,472,783,697,889
  5. Step 5: Solve for x
    x = 1,472,783,697,889/501,770
  6. Step 6: Final answer
    x = 2,935,176.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.