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Finding the Third Proportional to 456,306 and 1,017,588

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Solution

The third proportional to 456,306 and 1,017,588 is: 2,269,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,306 : 1,017,588 = 1,017,588 : x
  2. Step 2: Convert to fraction form
    456,306/1,017,588 = 1,017,588/x
  3. Step 3: Cross multiply
    456,306x = 1,017,588 × 1,017,588
  4. Step 4: Simplify right side
    456,306x = 1,035,485,337,744
  5. Step 5: Solve for x
    x = 1,035,485,337,744/456,306
  6. Step 6: Final answer
    x = 2,269,278.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.