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Finding the Third Proportional to 645,876 and 1,008,058

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Solution

The third proportional to 645,876 and 1,008,058 is: 1,573,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,876 : 1,008,058 = 1,008,058 : x
  2. Step 2: Convert to fraction form
    645,876/1,008,058 = 1,008,058/x
  3. Step 3: Cross multiply
    645,876x = 1,008,058 × 1,008,058
  4. Step 4: Simplify right side
    645,876x = 1,016,180,931,364
  5. Step 5: Solve for x
    x = 1,016,180,931,364/645,876
  6. Step 6: Final answer
    x = 1,573,337.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.