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Finding the Third Proportional to 913,680 and 2,105,784

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Solution

The third proportional to 913,680 and 2,105,784 is: 4,853,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,680 : 2,105,784 = 2,105,784 : x
  2. Step 2: Convert to fraction form
    913,680/2,105,784 = 2,105,784/x
  3. Step 3: Cross multiply
    913,680x = 2,105,784 × 2,105,784
  4. Step 4: Simplify right side
    913,680x = 4,434,326,254,656
  5. Step 5: Solve for x
    x = 4,434,326,254,656/913,680
  6. Step 6: Final answer
    x = 4,853,259.63

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.