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Finding the Third Proportional to 654,334 and 1,411,772

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Solution

The third proportional to 654,334 and 1,411,772 is: 3,045,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,334 : 1,411,772 = 1,411,772 : x
  2. Step 2: Convert to fraction form
    654,334/1,411,772 = 1,411,772/x
  3. Step 3: Cross multiply
    654,334x = 1,411,772 × 1,411,772
  4. Step 4: Simplify right side
    654,334x = 1,993,100,179,984
  5. Step 5: Solve for x
    x = 1,993,100,179,984/654,334
  6. Step 6: Final answer
    x = 3,045,998.19

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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.