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Finding the Third Proportional to 621,756 and 960,098.06

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Solution

The third proportional to 621,756 and 960,098.06 is: 1,482,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,756 : 960,098.06 = 960,098.06 : x
  2. Step 2: Convert to fraction form
    621,756/960,098.06 = 960,098.06/x
  3. Step 3: Cross multiply
    621,756x = 960,098.06 × 960,098.06
  4. Step 4: Simplify right side
    621,756x = 921,788,289,616.25
  5. Step 5: Solve for x
    x = 921,788,289,616.25/621,756
  6. Step 6: Final answer
    x = 1,482,556.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.