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Finding the Third Proportional to 1,346,311.13 and 2,916,934.03

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Solution

The third proportional to 1,346,311.13 and 2,916,934.03 is: 6,319,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,311.13 : 2,916,934.03 = 2,916,934.03 : x
  2. Step 2: Convert to fraction form
    1,346,311.13/2,916,934.03 = 2,916,934.03/x
  3. Step 3: Cross multiply
    1,346,311.13x = 2,916,934.03 × 2,916,934.03
  4. Step 4: Simplify right side
    1,346,311.13x = 8,508,504,142,664.38
  5. Step 5: Solve for x
    x = 8,508,504,142,664.38/1,346,311.13
  6. Step 6: Final answer
    x = 6,319,864.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.