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Finding the Third Proportional to 732,009 and 1,093,701

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Solution

The third proportional to 732,009 and 1,093,701 is: 1,634,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,009 : 1,093,701 = 1,093,701 : x
  2. Step 2: Convert to fraction form
    732,009/1,093,701 = 1,093,701/x
  3. Step 3: Cross multiply
    732,009x = 1,093,701 × 1,093,701
  4. Step 4: Simplify right side
    732,009x = 1,196,181,877,401
  5. Step 5: Solve for x
    x = 1,196,181,877,401/732,009
  6. Step 6: Final answer
    x = 1,634,108.16

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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.