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Finding the Third Proportional to 913,268 and 1,458,462

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Solution

The third proportional to 913,268 and 1,458,462 is: 2,329,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,268 : 1,458,462 = 1,458,462 : x
  2. Step 2: Convert to fraction form
    913,268/1,458,462 = 1,458,462/x
  3. Step 3: Cross multiply
    913,268x = 1,458,462 × 1,458,462
  4. Step 4: Simplify right side
    913,268x = 2,127,111,405,444
  5. Step 5: Solve for x
    x = 2,127,111,405,444/913,268
  6. Step 6: Final answer
    x = 2,329,120.70

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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.