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Finding the Third Proportional to 829,178 and 1,758,001

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Solution

The third proportional to 829,178 and 1,758,001 is: 3,727,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,178 : 1,758,001 = 1,758,001 : x
  2. Step 2: Convert to fraction form
    829,178/1,758,001 = 1,758,001/x
  3. Step 3: Cross multiply
    829,178x = 1,758,001 × 1,758,001
  4. Step 4: Simplify right side
    829,178x = 3,090,567,516,001
  5. Step 5: Solve for x
    x = 3,090,567,516,001/829,178
  6. Step 6: Final answer
    x = 3,727,266.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.