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Finding the Third Proportional to 830,310.75 and 1,239,058.69

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Solution

The third proportional to 830,310.75 and 1,239,058.69 is: 1,849,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,310.75 : 1,239,058.69 = 1,239,058.69 : x
  2. Step 2: Convert to fraction form
    830,310.75/1,239,058.69 = 1,239,058.69/x
  3. Step 3: Cross multiply
    830,310.75x = 1,239,058.69 × 1,239,058.69
  4. Step 4: Simplify right side
    830,310.75x = 1,535,266,431,069.22
  5. Step 5: Solve for x
    x = 1,535,266,431,069.22/830,310.75
  6. Step 6: Final answer
    x = 1,849,026.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.