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Finding the Third Proportional to 653,020 and 989,388

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Solution

The third proportional to 653,020 and 989,388 is: 1,499,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,020 : 989,388 = 989,388 : x
  2. Step 2: Convert to fraction form
    653,020/989,388 = 989,388/x
  3. Step 3: Cross multiply
    653,020x = 989,388 × 989,388
  4. Step 4: Simplify right side
    653,020x = 978,888,614,544
  5. Step 5: Solve for x
    x = 978,888,614,544/653,020
  6. Step 6: Final answer
    x = 1,499,017.82

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Why These Related Problems?

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