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Finding the Third Proportional to 576,011 and 1,256,836

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Solution

The third proportional to 576,011 and 1,256,836 is: 2,742,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,011 : 1,256,836 = 1,256,836 : x
  2. Step 2: Convert to fraction form
    576,011/1,256,836 = 1,256,836/x
  3. Step 3: Cross multiply
    576,011x = 1,256,836 × 1,256,836
  4. Step 4: Simplify right side
    576,011x = 1,579,636,730,896
  5. Step 5: Solve for x
    x = 1,579,636,730,896/576,011
  6. Step 6: Final answer
    x = 2,742,372.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.