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Finding the Third Proportional to 1,264,416 and 2,738,784

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Solution

The third proportional to 1,264,416 and 2,738,784 is: 5,932,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,416 : 2,738,784 = 2,738,784 : x
  2. Step 2: Convert to fraction form
    1,264,416/2,738,784 = 2,738,784/x
  3. Step 3: Cross multiply
    1,264,416x = 2,738,784 × 2,738,784
  4. Step 4: Simplify right side
    1,264,416x = 7,500,937,798,656
  5. Step 5: Solve for x
    x = 7,500,937,798,656/1,264,416
  6. Step 6: Final answer
    x = 5,932,333.82

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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.