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Finding the Third Proportional to 506,970 and 1,085,904

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Solution

The third proportional to 506,970 and 1,085,904 is: 2,325,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,970 : 1,085,904 = 1,085,904 : x
  2. Step 2: Convert to fraction form
    506,970/1,085,904 = 1,085,904/x
  3. Step 3: Cross multiply
    506,970x = 1,085,904 × 1,085,904
  4. Step 4: Simplify right side
    506,970x = 1,179,187,497,216
  5. Step 5: Solve for x
    x = 1,179,187,497,216/506,970
  6. Step 6: Final answer
    x = 2,325,951.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.