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Finding the Third Proportional to 1,077,741 and 1,569,226

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Solution

The third proportional to 1,077,741 and 1,569,226 is: 2,284,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,741 : 1,569,226 = 1,569,226 : x
  2. Step 2: Convert to fraction form
    1,077,741/1,569,226 = 1,569,226/x
  3. Step 3: Cross multiply
    1,077,741x = 1,569,226 × 1,569,226
  4. Step 4: Simplify right side
    1,077,741x = 2,462,470,239,076
  5. Step 5: Solve for x
    x = 2,462,470,239,076/1,077,741
  6. Step 6: Final answer
    x = 2,284,844.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.