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Finding the Third Proportional to 656,044 and 1,071,269

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Solution

The third proportional to 656,044 and 1,071,269 is: 1,749,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,044 : 1,071,269 = 1,071,269 : x
  2. Step 2: Convert to fraction form
    656,044/1,071,269 = 1,071,269/x
  3. Step 3: Cross multiply
    656,044x = 1,071,269 × 1,071,269
  4. Step 4: Simplify right side
    656,044x = 1,147,617,270,361
  5. Step 5: Solve for x
    x = 1,147,617,270,361/656,044
  6. Step 6: Final answer
    x = 1,749,299.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.