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Finding the Third Proportional to 563,026 and 829,644

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Solution

The third proportional to 563,026 and 829,644 is: 1,222,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,026 : 829,644 = 829,644 : x
  2. Step 2: Convert to fraction form
    563,026/829,644 = 829,644/x
  3. Step 3: Cross multiply
    563,026x = 829,644 × 829,644
  4. Step 4: Simplify right side
    563,026x = 688,309,166,736
  5. Step 5: Solve for x
    x = 688,309,166,736/563,026
  6. Step 6: Final answer
    x = 1,222,517.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.