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Finding the Third Proportional to 732,012 and 1,093,708

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Solution

The third proportional to 732,012 and 1,093,708 is: 1,634,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,012 : 1,093,708 = 1,093,708 : x
  2. Step 2: Convert to fraction form
    732,012/1,093,708 = 1,093,708/x
  3. Step 3: Cross multiply
    732,012x = 1,093,708 × 1,093,708
  4. Step 4: Simplify right side
    732,012x = 1,196,197,189,264
  5. Step 5: Solve for x
    x = 1,196,197,189,264/732,012
  6. Step 6: Final answer
    x = 1,634,122.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.