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Finding the Third Proportional to 829,603 and 1,772,930

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Solution

The third proportional to 829,603 and 1,772,930 is: 3,788,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,603 : 1,772,930 = 1,772,930 : x
  2. Step 2: Convert to fraction form
    829,603/1,772,930 = 1,772,930/x
  3. Step 3: Cross multiply
    829,603x = 1,772,930 × 1,772,930
  4. Step 4: Simplify right side
    829,603x = 3,143,280,784,900
  5. Step 5: Solve for x
    x = 3,143,280,784,900/829,603
  6. Step 6: Final answer
    x = 3,788,897.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.