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Finding the Third Proportional to 690,824 and 1,052,949

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Solution

The third proportional to 690,824 and 1,052,949 is: 1,604,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,824 : 1,052,949 = 1,052,949 : x
  2. Step 2: Convert to fraction form
    690,824/1,052,949 = 1,052,949/x
  3. Step 3: Cross multiply
    690,824x = 1,052,949 × 1,052,949
  4. Step 4: Simplify right side
    690,824x = 1,108,701,596,601
  5. Step 5: Solve for x
    x = 1,108,701,596,601/690,824
  6. Step 6: Final answer
    x = 1,604,897.34

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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.