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Finding the Third Proportional to 715,314 and 1,546,784

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Solution

The third proportional to 715,314 and 1,546,784 is: 3,344,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,314 : 1,546,784 = 1,546,784 : x
  2. Step 2: Convert to fraction form
    715,314/1,546,784 = 1,546,784/x
  3. Step 3: Cross multiply
    715,314x = 1,546,784 × 1,546,784
  4. Step 4: Simplify right side
    715,314x = 2,392,540,742,656
  5. Step 5: Solve for x
    x = 2,392,540,742,656/715,314
  6. Step 6: Final answer
    x = 3,344,741.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.