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Finding the Third Proportional to 732,010 and 1,093,706

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Solution

The third proportional to 732,010 and 1,093,706 is: 1,634,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,010 : 1,093,706 = 1,093,706 : x
  2. Step 2: Convert to fraction form
    732,010/1,093,706 = 1,093,706/x
  3. Step 3: Cross multiply
    732,010x = 1,093,706 × 1,093,706
  4. Step 4: Simplify right side
    732,010x = 1,196,192,814,436
  5. Step 5: Solve for x
    x = 1,196,192,814,436/732,010
  6. Step 6: Final answer
    x = 1,634,120.87

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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.