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Finding the Third Proportional to 526,725 and 1,137,525

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Solution

The third proportional to 526,725 and 1,137,525 is: 2,456,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,725 : 1,137,525 = 1,137,525 : x
  2. Step 2: Convert to fraction form
    526,725/1,137,525 = 1,137,525/x
  3. Step 3: Cross multiply
    526,725x = 1,137,525 × 1,137,525
  4. Step 4: Simplify right side
    526,725x = 1,293,963,125,625
  5. Step 5: Solve for x
    x = 1,293,963,125,625/526,725
  6. Step 6: Final answer
    x = 2,456,619.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.