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Finding the Third Proportional to 467,437 and 1,023,813

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Solution

The third proportional to 467,437 and 1,023,813 is: 2,242,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,437 : 1,023,813 = 1,023,813 : x
  2. Step 2: Convert to fraction form
    467,437/1,023,813 = 1,023,813/x
  3. Step 3: Cross multiply
    467,437x = 1,023,813 × 1,023,813
  4. Step 4: Simplify right side
    467,437x = 1,048,193,058,969
  5. Step 5: Solve for x
    x = 1,048,193,058,969/467,437
  6. Step 6: Final answer
    x = 2,242,426.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.