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Finding the Third Proportional to 684,631.50 and 1,460,857.50

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Solution

The third proportional to 684,631.50 and 1,460,857.50 is: 3,117,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,631.50 : 1,460,857.50 = 1,460,857.50 : x
  2. Step 2: Convert to fraction form
    684,631.50/1,460,857.50 = 1,460,857.50/x
  3. Step 3: Cross multiply
    684,631.50x = 1,460,857.50 × 1,460,857.50
  4. Step 4: Simplify right side
    684,631.50x = 2,134,104,635,306.25
  5. Step 5: Solve for x
    x = 2,134,104,635,306.25/684,631.50
  6. Step 6: Final answer
    x = 3,117,158.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.