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Finding the Third Proportional to 913,068 and 1,853,784

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Solution

The third proportional to 913,068 and 1,853,784 is: 3,763,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,068 : 1,853,784 = 1,853,784 : x
  2. Step 2: Convert to fraction form
    913,068/1,853,784 = 1,853,784/x
  3. Step 3: Cross multiply
    913,068x = 1,853,784 × 1,853,784
  4. Step 4: Simplify right side
    913,068x = 3,436,515,118,656
  5. Step 5: Solve for x
    x = 3,436,515,118,656/913,068
  6. Step 6: Final answer
    x = 3,763,701.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.