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Finding the Third Proportional to 826,947 and 1,326,807

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Solution

The third proportional to 826,947 and 1,326,807 is: 2,128,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,947 : 1,326,807 = 1,326,807 : x
  2. Step 2: Convert to fraction form
    826,947/1,326,807 = 1,326,807/x
  3. Step 3: Cross multiply
    826,947x = 1,326,807 × 1,326,807
  4. Step 4: Simplify right side
    826,947x = 1,760,416,815,249
  5. Step 5: Solve for x
    x = 1,760,416,815,249/826,947
  6. Step 6: Final answer
    x = 2,128,814.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.