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Finding the Third Proportional to 526,273 and 1,136,731

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Solution

The third proportional to 526,273 and 1,136,731 is: 2,455,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,273 : 1,136,731 = 1,136,731 : x
  2. Step 2: Convert to fraction form
    526,273/1,136,731 = 1,136,731/x
  3. Step 3: Cross multiply
    526,273x = 1,136,731 × 1,136,731
  4. Step 4: Simplify right side
    526,273x = 1,292,157,366,361
  5. Step 5: Solve for x
    x = 1,292,157,366,361/526,273
  6. Step 6: Final answer
    x = 2,455,298.61

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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.