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Finding the Third Proportional to 1,303,416 and 2,726,007

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Solution

The third proportional to 1,303,416 and 2,726,007 is: 5,701,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,416 : 2,726,007 = 2,726,007 : x
  2. Step 2: Convert to fraction form
    1,303,416/2,726,007 = 2,726,007/x
  3. Step 3: Cross multiply
    1,303,416x = 2,726,007 × 2,726,007
  4. Step 4: Simplify right side
    1,303,416x = 7,431,114,164,049
  5. Step 5: Solve for x
    x = 7,431,114,164,049/1,303,416
  6. Step 6: Final answer
    x = 5,701,260.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.