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Finding the Third Proportional to 610,436 and 1,276,633

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Solution

The third proportional to 610,436 and 1,276,633 is: 2,669,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,436 : 1,276,633 = 1,276,633 : x
  2. Step 2: Convert to fraction form
    610,436/1,276,633 = 1,276,633/x
  3. Step 3: Cross multiply
    610,436x = 1,276,633 × 1,276,633
  4. Step 4: Simplify right side
    610,436x = 1,629,791,816,689
  5. Step 5: Solve for x
    x = 1,629,791,816,689/610,436
  6. Step 6: Final answer
    x = 2,669,881.55

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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.