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Finding the Third Proportional to 654,853 and 978,246

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Solution

The third proportional to 654,853 and 978,246 is: 1,461,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,853 : 978,246 = 978,246 : x
  2. Step 2: Convert to fraction form
    654,853/978,246 = 978,246/x
  3. Step 3: Cross multiply
    654,853x = 978,246 × 978,246
  4. Step 4: Simplify right side
    654,853x = 956,965,236,516
  5. Step 5: Solve for x
    x = 956,965,236,516/654,853
  6. Step 6: Final answer
    x = 1,461,343.59

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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.