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Finding the Third Proportional to 692,010 and 1,497,744

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Solution

The third proportional to 692,010 and 1,497,744 is: 3,241,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,010 : 1,497,744 = 1,497,744 : x
  2. Step 2: Convert to fraction form
    692,010/1,497,744 = 1,497,744/x
  3. Step 3: Cross multiply
    692,010x = 1,497,744 × 1,497,744
  4. Step 4: Simplify right side
    692,010x = 2,243,237,089,536
  5. Step 5: Solve for x
    x = 2,243,237,089,536/692,010
  6. Step 6: Final answer
    x = 3,241,625.25

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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.