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Finding the Third Proportional to 830,519 and 1,248,239

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Solution

The third proportional to 830,519 and 1,248,239 is: 1,876,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,519 : 1,248,239 = 1,248,239 : x
  2. Step 2: Convert to fraction form
    830,519/1,248,239 = 1,248,239/x
  3. Step 3: Cross multiply
    830,519x = 1,248,239 × 1,248,239
  4. Step 4: Simplify right side
    830,519x = 1,558,100,601,121
  5. Step 5: Solve for x
    x = 1,558,100,601,121/830,519
  6. Step 6: Final answer
    x = 1,876,056.54

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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.