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Finding the Third Proportional to 527,921 and 849,986

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Solution

The third proportional to 527,921 and 849,986 is: 1,368,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,921 : 849,986 = 849,986 : x
  2. Step 2: Convert to fraction form
    527,921/849,986 = 849,986/x
  3. Step 3: Cross multiply
    527,921x = 849,986 × 849,986
  4. Step 4: Simplify right side
    527,921x = 722,476,200,196
  5. Step 5: Solve for x
    x = 722,476,200,196/527,921
  6. Step 6: Final answer
    x = 1,368,530.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.