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Finding the Third Proportional to 526,275 and 1,136,735

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Solution

The third proportional to 526,275 and 1,136,735 is: 2,455,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,275 : 1,136,735 = 1,136,735 : x
  2. Step 2: Convert to fraction form
    526,275/1,136,735 = 1,136,735/x
  3. Step 3: Cross multiply
    526,275x = 1,136,735 × 1,136,735
  4. Step 4: Simplify right side
    526,275x = 1,292,166,460,225
  5. Step 5: Solve for x
    x = 1,292,166,460,225/526,275
  6. Step 6: Final answer
    x = 2,455,306.56

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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.