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Finding the Third Proportional to 1,577,844 and 3,456,024

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Solution

The third proportional to 1,577,844 and 3,456,024 is: 7,569,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,844 : 3,456,024 = 3,456,024 : x
  2. Step 2: Convert to fraction form
    1,577,844/3,456,024 = 3,456,024/x
  3. Step 3: Cross multiply
    1,577,844x = 3,456,024 × 3,456,024
  4. Step 4: Simplify right side
    1,577,844x = 11,944,101,888,576
  5. Step 5: Solve for x
    x = 11,944,101,888,576/1,577,844
  6. Step 6: Final answer
    x = 7,569,887.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.