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Finding the Third Proportional to 535,461 and 1,164,234

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Solution

The third proportional to 535,461 and 1,164,234 is: 2,531,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,461 : 1,164,234 = 1,164,234 : x
  2. Step 2: Convert to fraction form
    535,461/1,164,234 = 1,164,234/x
  3. Step 3: Cross multiply
    535,461x = 1,164,234 × 1,164,234
  4. Step 4: Simplify right side
    535,461x = 1,355,440,806,756
  5. Step 5: Solve for x
    x = 1,355,440,806,756/535,461
  6. Step 6: Final answer
    x = 2,531,353.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.