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Finding the Third Proportional to 705,478 and 1,064,578

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Solution

The third proportional to 705,478 and 1,064,578 is: 1,606,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,478 : 1,064,578 = 1,064,578 : x
  2. Step 2: Convert to fraction form
    705,478/1,064,578 = 1,064,578/x
  3. Step 3: Cross multiply
    705,478x = 1,064,578 × 1,064,578
  4. Step 4: Simplify right side
    705,478x = 1,133,326,318,084
  5. Step 5: Solve for x
    x = 1,133,326,318,084/705,478
  6. Step 6: Final answer
    x = 1,606,465.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.