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Finding the Third Proportional to 1,169,844 and 2,513,784

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Solution

The third proportional to 1,169,844 and 2,513,784 is: 5,401,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,844 : 2,513,784 = 2,513,784 : x
  2. Step 2: Convert to fraction form
    1,169,844/2,513,784 = 2,513,784/x
  3. Step 3: Cross multiply
    1,169,844x = 2,513,784 × 2,513,784
  4. Step 4: Simplify right side
    1,169,844x = 6,319,109,998,656
  5. Step 5: Solve for x
    x = 6,319,109,998,656/1,169,844
  6. Step 6: Final answer
    x = 5,401,668.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.