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Finding the Third Proportional to 1,032,936 and 1,509,764

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Solution

The third proportional to 1,032,936 and 1,509,764 is: 2,206,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,936 : 1,509,764 = 1,509,764 : x
  2. Step 2: Convert to fraction form
    1,032,936/1,509,764 = 1,509,764/x
  3. Step 3: Cross multiply
    1,032,936x = 1,509,764 × 1,509,764
  4. Step 4: Simplify right side
    1,032,936x = 2,279,387,335,696
  5. Step 5: Solve for x
    x = 2,279,387,335,696/1,032,936
  6. Step 6: Final answer
    x = 2,206,707.23

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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.