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Finding the Third Proportional to 652,996 and 989,369.75

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Solution

The third proportional to 652,996 and 989,369.75 is: 1,499,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,996 : 989,369.75 = 989,369.75 : x
  2. Step 2: Convert to fraction form
    652,996/989,369.75 = 989,369.75/x
  3. Step 3: Cross multiply
    652,996x = 989,369.75 × 989,369.75
  4. Step 4: Simplify right side
    652,996x = 978,852,502,215.06
  5. Step 5: Solve for x
    x = 978,852,502,215.06/652,996
  6. Step 6: Final answer
    x = 1,499,017.61

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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.