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Finding the Third Proportional to 781,044 and 1,608,732

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Solution

The third proportional to 781,044 and 1,608,732 is: 3,313,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,044 : 1,608,732 = 1,608,732 : x
  2. Step 2: Convert to fraction form
    781,044/1,608,732 = 1,608,732/x
  3. Step 3: Cross multiply
    781,044x = 1,608,732 × 1,608,732
  4. Step 4: Simplify right side
    781,044x = 2,588,018,647,824
  5. Step 5: Solve for x
    x = 2,588,018,647,824/781,044
  6. Step 6: Final answer
    x = 3,313,537.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.