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Finding the Third Proportional to 705,249 and 1,074,399

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Solution

The third proportional to 705,249 and 1,074,399 is: 1,636,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,249 : 1,074,399 = 1,074,399 : x
  2. Step 2: Convert to fraction form
    705,249/1,074,399 = 1,074,399/x
  3. Step 3: Cross multiply
    705,249x = 1,074,399 × 1,074,399
  4. Step 4: Simplify right side
    705,249x = 1,154,333,211,201
  5. Step 5: Solve for x
    x = 1,154,333,211,201/705,249
  6. Step 6: Final answer
    x = 1,636,773.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.