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Finding the Third Proportional to 576,014 and 1,256,840

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Solution

The third proportional to 576,014 and 1,256,840 is: 2,742,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,014 : 1,256,840 = 1,256,840 : x
  2. Step 2: Convert to fraction form
    576,014/1,256,840 = 1,256,840/x
  3. Step 3: Cross multiply
    576,014x = 1,256,840 × 1,256,840
  4. Step 4: Simplify right side
    576,014x = 1,579,646,785,600
  5. Step 5: Solve for x
    x = 1,579,646,785,600/576,014
  6. Step 6: Final answer
    x = 2,742,375.68

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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.