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Finding the Third Proportional to 806,084 and 1,225,164

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Solution

The third proportional to 806,084 and 1,225,164 is: 1,862,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,084 : 1,225,164 = 1,225,164 : x
  2. Step 2: Convert to fraction form
    806,084/1,225,164 = 1,225,164/x
  3. Step 3: Cross multiply
    806,084x = 1,225,164 × 1,225,164
  4. Step 4: Simplify right side
    806,084x = 1,501,026,826,896
  5. Step 5: Solve for x
    x = 1,501,026,826,896/806,084
  6. Step 6: Final answer
    x = 1,862,122.10

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