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Finding the Third Proportional to 932,969 and 1,400,178

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Solution

The third proportional to 932,969 and 1,400,178 is: 2,101,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,969 : 1,400,178 = 1,400,178 : x
  2. Step 2: Convert to fraction form
    932,969/1,400,178 = 1,400,178/x
  3. Step 3: Cross multiply
    932,969x = 1,400,178 × 1,400,178
  4. Step 4: Simplify right side
    932,969x = 1,960,498,431,684
  5. Step 5: Solve for x
    x = 1,960,498,431,684/932,969
  6. Step 6: Final answer
    x = 2,101,354.31

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