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Finding the Third Proportional to 846,404 and 1,148,226

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Solution

The third proportional to 846,404 and 1,148,226 is: 1,557,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,404 : 1,148,226 = 1,148,226 : x
  2. Step 2: Convert to fraction form
    846,404/1,148,226 = 1,148,226/x
  3. Step 3: Cross multiply
    846,404x = 1,148,226 × 1,148,226
  4. Step 4: Simplify right side
    846,404x = 1,318,422,947,076
  5. Step 5: Solve for x
    x = 1,318,422,947,076/846,404
  6. Step 6: Final answer
    x = 1,557,675.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.