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Finding the Third Proportional to 610,809 and 1,302,741

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Solution

The third proportional to 610,809 and 1,302,741 is: 2,778,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,809 : 1,302,741 = 1,302,741 : x
  2. Step 2: Convert to fraction form
    610,809/1,302,741 = 1,302,741/x
  3. Step 3: Cross multiply
    610,809x = 1,302,741 × 1,302,741
  4. Step 4: Simplify right side
    610,809x = 1,697,134,113,081
  5. Step 5: Solve for x
    x = 1,697,134,113,081/610,809
  6. Step 6: Final answer
    x = 2,778,502.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.