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Finding the Third Proportional to 564,590 and 1,175,644

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Solution

The third proportional to 564,590 and 1,175,644 is: 2,448,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,590 : 1,175,644 = 1,175,644 : x
  2. Step 2: Convert to fraction form
    564,590/1,175,644 = 1,175,644/x
  3. Step 3: Cross multiply
    564,590x = 1,175,644 × 1,175,644
  4. Step 4: Simplify right side
    564,590x = 1,382,138,814,736
  5. Step 5: Solve for x
    x = 1,382,138,814,736/564,590
  6. Step 6: Final answer
    x = 2,448,039.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.