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Finding the Third Proportional to 862,030 and 1,299,606

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Solution

The third proportional to 862,030 and 1,299,606 is: 1,959,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,030 : 1,299,606 = 1,299,606 : x
  2. Step 2: Convert to fraction form
    862,030/1,299,606 = 1,299,606/x
  3. Step 3: Cross multiply
    862,030x = 1,299,606 × 1,299,606
  4. Step 4: Simplify right side
    862,030x = 1,688,975,755,236
  5. Step 5: Solve for x
    x = 1,688,975,755,236/862,030
  6. Step 6: Final answer
    x = 1,959,300.44

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Why These Related Problems?

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