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Finding the Third Proportional to 686,545 and 1,495,142

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Solution

The third proportional to 686,545 and 1,495,142 is: 3,256,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,545 : 1,495,142 = 1,495,142 : x
  2. Step 2: Convert to fraction form
    686,545/1,495,142 = 1,495,142/x
  3. Step 3: Cross multiply
    686,545x = 1,495,142 × 1,495,142
  4. Step 4: Simplify right side
    686,545x = 2,235,449,600,164
  5. Step 5: Solve for x
    x = 2,235,449,600,164/686,545
  6. Step 6: Final answer
    x = 3,256,086.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.