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Finding the Third Proportional to 983,226.75 and 1,345,612.13

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Solution

The third proportional to 983,226.75 and 1,345,612.13 is: 1,841,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,226.75 : 1,345,612.13 = 1,345,612.13 : x
  2. Step 2: Convert to fraction form
    983,226.75/1,345,612.13 = 1,345,612.13/x
  3. Step 3: Cross multiply
    983,226.75x = 1,345,612.13 × 1,345,612.13
  4. Step 4: Simplify right side
    983,226.75x = 1,810,671,990,947.02
  5. Step 5: Solve for x
    x = 1,810,671,990,947.02/983,226.75
  6. Step 6: Final answer
    x = 1,841,560.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.