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Finding the Third Proportional to 1,306,550 and 2,732,827

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Solution

The third proportional to 1,306,550 and 2,732,827 is: 5,716,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,550 : 2,732,827 = 2,732,827 : x
  2. Step 2: Convert to fraction form
    1,306,550/2,732,827 = 2,732,827/x
  3. Step 3: Cross multiply
    1,306,550x = 2,732,827 × 2,732,827
  4. Step 4: Simplify right side
    1,306,550x = 7,468,343,411,929
  5. Step 5: Solve for x
    x = 7,468,343,411,929/1,306,550
  6. Step 6: Final answer
    x = 5,716,079.30

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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.