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Finding the Third Proportional to 932,967 and 1,319,895

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Solution

The third proportional to 932,967 and 1,319,895 is: 1,867,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,967 : 1,319,895 = 1,319,895 : x
  2. Step 2: Convert to fraction form
    932,967/1,319,895 = 1,319,895/x
  3. Step 3: Cross multiply
    932,967x = 1,319,895 × 1,319,895
  4. Step 4: Simplify right side
    932,967x = 1,742,122,811,025
  5. Step 5: Solve for x
    x = 1,742,122,811,025/932,967
  6. Step 6: Final answer
    x = 1,867,293.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.