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Finding the Third Proportional to 735,010 and 1,517,252

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Solution

The third proportional to 735,010 and 1,517,252 is: 3,132,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,010 : 1,517,252 = 1,517,252 : x
  2. Step 2: Convert to fraction form
    735,010/1,517,252 = 1,517,252/x
  3. Step 3: Cross multiply
    735,010x = 1,517,252 × 1,517,252
  4. Step 4: Simplify right side
    735,010x = 2,302,053,631,504
  5. Step 5: Solve for x
    x = 2,302,053,631,504/735,010
  6. Step 6: Final answer
    x = 3,132,003.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.