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Finding the Third Proportional to 580,692 and 1,214,596

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Solution

The third proportional to 580,692 and 1,214,596 is: 2,540,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,692 : 1,214,596 = 1,214,596 : x
  2. Step 2: Convert to fraction form
    580,692/1,214,596 = 1,214,596/x
  3. Step 3: Cross multiply
    580,692x = 1,214,596 × 1,214,596
  4. Step 4: Simplify right side
    580,692x = 1,475,243,443,216
  5. Step 5: Solve for x
    x = 1,475,243,443,216/580,692
  6. Step 6: Final answer
    x = 2,540,492.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.