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Finding the Third Proportional to 610,658 and 1,302,471

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Solution

The third proportional to 610,658 and 1,302,471 is: 2,778,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,658 : 1,302,471 = 1,302,471 : x
  2. Step 2: Convert to fraction form
    610,658/1,302,471 = 1,302,471/x
  3. Step 3: Cross multiply
    610,658x = 1,302,471 × 1,302,471
  4. Step 4: Simplify right side
    610,658x = 1,696,430,705,841
  5. Step 5: Solve for x
    x = 1,696,430,705,841/610,658
  6. Step 6: Final answer
    x = 2,778,037.31

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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.