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Finding the Third Proportional to 651,257 and 1,388,536

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Solution

The third proportional to 651,257 and 1,388,536 is: 2,960,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,257 : 1,388,536 = 1,388,536 : x
  2. Step 2: Convert to fraction form
    651,257/1,388,536 = 1,388,536/x
  3. Step 3: Cross multiply
    651,257x = 1,388,536 × 1,388,536
  4. Step 4: Simplify right side
    651,257x = 1,928,032,223,296
  5. Step 5: Solve for x
    x = 1,928,032,223,296/651,257
  6. Step 6: Final answer
    x = 2,960,478.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.