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Finding the Third Proportional to 692,005 and 1,497,732

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Solution

The third proportional to 692,005 and 1,497,732 is: 3,241,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,005 : 1,497,732 = 1,497,732 : x
  2. Step 2: Convert to fraction form
    692,005/1,497,732 = 1,497,732/x
  3. Step 3: Cross multiply
    692,005x = 1,497,732 × 1,497,732
  4. Step 4: Simplify right side
    692,005x = 2,243,201,143,824
  5. Step 5: Solve for x
    x = 2,243,201,143,824/692,005
  6. Step 6: Final answer
    x = 3,241,596.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.