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Finding the Third Proportional to 904,810 and 1,406,824

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Solution

The third proportional to 904,810 and 1,406,824 is: 2,187,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,810 : 1,406,824 = 1,406,824 : x
  2. Step 2: Convert to fraction form
    904,810/1,406,824 = 1,406,824/x
  3. Step 3: Cross multiply
    904,810x = 1,406,824 × 1,406,824
  4. Step 4: Simplify right side
    904,810x = 1,979,153,766,976
  5. Step 5: Solve for x
    x = 1,979,153,766,976/904,810
  6. Step 6: Final answer
    x = 2,187,369.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.