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Finding the Third Proportional to 610,828 and 932,037

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Solution

The third proportional to 610,828 and 932,037 is: 1,422,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,828 : 932,037 = 932,037 : x
  2. Step 2: Convert to fraction form
    610,828/932,037 = 932,037/x
  3. Step 3: Cross multiply
    610,828x = 932,037 × 932,037
  4. Step 4: Simplify right side
    610,828x = 868,692,969,369
  5. Step 5: Solve for x
    x = 868,692,969,369/610,828
  6. Step 6: Final answer
    x = 1,422,156.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.