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Finding the Third Proportional to 610,638 and 1,302,431

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Solution

The third proportional to 610,638 and 1,302,431 is: 2,777,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,638 : 1,302,431 = 1,302,431 : x
  2. Step 2: Convert to fraction form
    610,638/1,302,431 = 1,302,431/x
  3. Step 3: Cross multiply
    610,638x = 1,302,431 × 1,302,431
  4. Step 4: Simplify right side
    610,638x = 1,696,326,509,761
  5. Step 5: Solve for x
    x = 1,696,326,509,761/610,638
  6. Step 6: Final answer
    x = 2,777,957.66

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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.