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Finding the Third Proportional to 456,528 and 1,099,816

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Solution

The third proportional to 456,528 and 1,099,816 is: 2,649,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,528 : 1,099,816 = 1,099,816 : x
  2. Step 2: Convert to fraction form
    456,528/1,099,816 = 1,099,816/x
  3. Step 3: Cross multiply
    456,528x = 1,099,816 × 1,099,816
  4. Step 4: Simplify right side
    456,528x = 1,209,595,233,856
  5. Step 5: Solve for x
    x = 1,209,595,233,856/456,528
  6. Step 6: Final answer
    x = 2,649,553.22

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.