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Finding the Third Proportional to 525,017 and 1,151,716

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Solution

The third proportional to 525,017 and 1,151,716 is: 2,526,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,017 : 1,151,716 = 1,151,716 : x
  2. Step 2: Convert to fraction form
    525,017/1,151,716 = 1,151,716/x
  3. Step 3: Cross multiply
    525,017x = 1,151,716 × 1,151,716
  4. Step 4: Simplify right side
    525,017x = 1,326,449,744,656
  5. Step 5: Solve for x
    x = 1,326,449,744,656/525,017
  6. Step 6: Final answer
    x = 2,526,489.13

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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.