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Finding the Third Proportional to 610,934 and 1,277,506

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Solution

The third proportional to 610,934 and 1,277,506 is: 2,671,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,934 : 1,277,506 = 1,277,506 : x
  2. Step 2: Convert to fraction form
    610,934/1,277,506 = 1,277,506/x
  3. Step 3: Cross multiply
    610,934x = 1,277,506 × 1,277,506
  4. Step 4: Simplify right side
    610,934x = 1,632,021,580,036
  5. Step 5: Solve for x
    x = 1,632,021,580,036/610,934
  6. Step 6: Final answer
    x = 2,671,354.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.