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Finding the Third Proportional to 563,147 and 1,166,216.50

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Solution

The third proportional to 563,147 and 1,166,216.50 is: 2,415,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,147 : 1,166,216.50 = 1,166,216.50 : x
  2. Step 2: Convert to fraction form
    563,147/1,166,216.50 = 1,166,216.50/x
  3. Step 3: Cross multiply
    563,147x = 1,166,216.50 × 1,166,216.50
  4. Step 4: Simplify right side
    563,147x = 1,360,060,924,872.25
  5. Step 5: Solve for x
    x = 1,360,060,924,872.25/563,147
  6. Step 6: Final answer
    x = 2,415,108.18

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.