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Finding the Third Proportional to 870,596.50 and 1,232,994.75

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Solution

The third proportional to 870,596.50 and 1,232,994.75 is: 1,746,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,596.50 : 1,232,994.75 = 1,232,994.75 : x
  2. Step 2: Convert to fraction form
    870,596.50/1,232,994.75 = 1,232,994.75/x
  3. Step 3: Cross multiply
    870,596.50x = 1,232,994.75 × 1,232,994.75
  4. Step 4: Simplify right side
    870,596.50x = 1,520,276,053,527.56
  5. Step 5: Solve for x
    x = 1,520,276,053,527.56/870,596.50
  6. Step 6: Final answer
    x = 1,746,246.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.