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Finding the Third Proportional to 909,950 and 1,427,313

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Solution

The third proportional to 909,950 and 1,427,313 is: 2,238,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,950 : 1,427,313 = 1,427,313 : x
  2. Step 2: Convert to fraction form
    909,950/1,427,313 = 1,427,313/x
  3. Step 3: Cross multiply
    909,950x = 1,427,313 × 1,427,313
  4. Step 4: Simplify right side
    909,950x = 2,037,222,399,969
  5. Step 5: Solve for x
    x = 2,037,222,399,969/909,950
  6. Step 6: Final answer
    x = 2,238,828.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.