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Finding the Third Proportional to 802,680 and 1,210,826

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Solution

The third proportional to 802,680 and 1,210,826 is: 1,826,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,680 : 1,210,826 = 1,210,826 : x
  2. Step 2: Convert to fraction form
    802,680/1,210,826 = 1,210,826/x
  3. Step 3: Cross multiply
    802,680x = 1,210,826 × 1,210,826
  4. Step 4: Simplify right side
    802,680x = 1,466,099,602,276
  5. Step 5: Solve for x
    x = 1,466,099,602,276/802,680
  6. Step 6: Final answer
    x = 1,826,505.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.