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Finding the Third Proportional to 524,430 and 1,144,092

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Solution

The third proportional to 524,430 and 1,144,092 is: 2,495,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,430 : 1,144,092 = 1,144,092 : x
  2. Step 2: Convert to fraction form
    524,430/1,144,092 = 1,144,092/x
  3. Step 3: Cross multiply
    524,430x = 1,144,092 × 1,144,092
  4. Step 4: Simplify right side
    524,430x = 1,308,946,504,464
  5. Step 5: Solve for x
    x = 1,308,946,504,464/524,430
  6. Step 6: Final answer
    x = 2,495,941.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.