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Finding the Third Proportional to 830,517 and 1,248,235.50

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Solution

The third proportional to 830,517 and 1,248,235.50 is: 1,876,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,517 : 1,248,235.50 = 1,248,235.50 : x
  2. Step 2: Convert to fraction form
    830,517/1,248,235.50 = 1,248,235.50/x
  3. Step 3: Cross multiply
    830,517x = 1,248,235.50 × 1,248,235.50
  4. Step 4: Simplify right side
    830,517x = 1,558,091,863,460.25
  5. Step 5: Solve for x
    x = 1,558,091,863,460.25/830,517
  6. Step 6: Final answer
    x = 1,876,050.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.