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Finding the Third Proportional to 566,640 and 1,238,400

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Solution

The third proportional to 566,640 and 1,238,400 is: 2,706,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,640 : 1,238,400 = 1,238,400 : x
  2. Step 2: Convert to fraction form
    566,640/1,238,400 = 1,238,400/x
  3. Step 3: Cross multiply
    566,640x = 1,238,400 × 1,238,400
  4. Step 4: Simplify right side
    566,640x = 1,533,634,560,000
  5. Step 5: Solve for x
    x = 1,533,634,560,000/566,640
  6. Step 6: Final answer
    x = 2,706,541.30

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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.