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Finding the Third Proportional to 656,174 and 1,364,728

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Solution

The third proportional to 656,174 and 1,364,728 is: 2,838,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,174 : 1,364,728 = 1,364,728 : x
  2. Step 2: Convert to fraction form
    656,174/1,364,728 = 1,364,728/x
  3. Step 3: Cross multiply
    656,174x = 1,364,728 × 1,364,728
  4. Step 4: Simplify right side
    656,174x = 1,862,482,513,984
  5. Step 5: Solve for x
    x = 1,862,482,513,984/656,174
  6. Step 6: Final answer
    x = 2,838,397.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.