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Finding the Third Proportional to 812,870 and 1,265,826

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Solution

The third proportional to 812,870 and 1,265,826 is: 1,971,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,870 : 1,265,826 = 1,265,826 : x
  2. Step 2: Convert to fraction form
    812,870/1,265,826 = 1,265,826/x
  3. Step 3: Cross multiply
    812,870x = 1,265,826 × 1,265,826
  4. Step 4: Simplify right side
    812,870x = 1,602,315,462,276
  5. Step 5: Solve for x
    x = 1,602,315,462,276/812,870
  6. Step 6: Final answer
    x = 1,971,182.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.