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Finding the Third Proportional to 829,602 and 1,772,928

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Solution

The third proportional to 829,602 and 1,772,928 is: 3,788,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,602 : 1,772,928 = 1,772,928 : x
  2. Step 2: Convert to fraction form
    829,602/1,772,928 = 1,772,928/x
  3. Step 3: Cross multiply
    829,602x = 1,772,928 × 1,772,928
  4. Step 4: Simplify right side
    829,602x = 3,143,273,693,184
  5. Step 5: Solve for x
    x = 3,143,273,693,184/829,602
  6. Step 6: Final answer
    x = 3,788,893.58

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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.