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Finding the Third Proportional to 829,604 and 1,772,932

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Solution

The third proportional to 829,604 and 1,772,932 is: 3,788,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,604 : 1,772,932 = 1,772,932 : x
  2. Step 2: Convert to fraction form
    829,604/1,772,932 = 1,772,932/x
  3. Step 3: Cross multiply
    829,604x = 1,772,932 × 1,772,932
  4. Step 4: Simplify right side
    829,604x = 3,143,287,876,624
  5. Step 5: Solve for x
    x = 3,143,287,876,624/829,604
  6. Step 6: Final answer
    x = 3,788,901.54

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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.