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Finding the Third Proportional to 609,072 and 1,403,772

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Solution

The third proportional to 609,072 and 1,403,772 is: 3,235,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,072 : 1,403,772 = 1,403,772 : x
  2. Step 2: Convert to fraction form
    609,072/1,403,772 = 1,403,772/x
  3. Step 3: Cross multiply
    609,072x = 1,403,772 × 1,403,772
  4. Step 4: Simplify right side
    609,072x = 1,970,575,827,984
  5. Step 5: Solve for x
    x = 1,970,575,827,984/609,072
  6. Step 6: Final answer
    x = 3,235,374.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.