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Finding the Third Proportional to 728,154 and 1,139,752

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Solution

The third proportional to 728,154 and 1,139,752 is: 1,784,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,154 : 1,139,752 = 1,139,752 : x
  2. Step 2: Convert to fraction form
    728,154/1,139,752 = 1,139,752/x
  3. Step 3: Cross multiply
    728,154x = 1,139,752 × 1,139,752
  4. Step 4: Simplify right side
    728,154x = 1,299,034,621,504
  5. Step 5: Solve for x
    x = 1,299,034,621,504/728,154
  6. Step 6: Final answer
    x = 1,784,010.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.