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Finding the Third Proportional to 459,852 and 686,946

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Solution

The third proportional to 459,852 and 686,946 is: 1,026,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,852 : 686,946 = 686,946 : x
  2. Step 2: Convert to fraction form
    459,852/686,946 = 686,946/x
  3. Step 3: Cross multiply
    459,852x = 686,946 × 686,946
  4. Step 4: Simplify right side
    459,852x = 471,894,806,916
  5. Step 5: Solve for x
    x = 471,894,806,916/459,852
  6. Step 6: Final answer
    x = 1,026,188.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.