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Finding the Third Proportional to 713,702 and 1,042,075

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Solution

The third proportional to 713,702 and 1,042,075 is: 1,521,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,702 : 1,042,075 = 1,042,075 : x
  2. Step 2: Convert to fraction form
    713,702/1,042,075 = 1,042,075/x
  3. Step 3: Cross multiply
    713,702x = 1,042,075 × 1,042,075
  4. Step 4: Simplify right side
    713,702x = 1,085,920,305,625
  5. Step 5: Solve for x
    x = 1,085,920,305,625/713,702
  6. Step 6: Final answer
    x = 1,521,531.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.