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Finding the Third Proportional to 686,088 and 1,060,236

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Solution

The third proportional to 686,088 and 1,060,236 is: 1,638,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,088 : 1,060,236 = 1,060,236 : x
  2. Step 2: Convert to fraction form
    686,088/1,060,236 = 1,060,236/x
  3. Step 3: Cross multiply
    686,088x = 1,060,236 × 1,060,236
  4. Step 4: Simplify right side
    686,088x = 1,124,100,375,696
  5. Step 5: Solve for x
    x = 1,124,100,375,696/686,088
  6. Step 6: Final answer
    x = 1,638,420.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.