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Finding the Third Proportional to 748,044 and 1,052,178

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Solution

The third proportional to 748,044 and 1,052,178 is: 1,479,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,044 : 1,052,178 = 1,052,178 : x
  2. Step 2: Convert to fraction form
    748,044/1,052,178 = 1,052,178/x
  3. Step 3: Cross multiply
    748,044x = 1,052,178 × 1,052,178
  4. Step 4: Simplify right side
    748,044x = 1,107,078,543,684
  5. Step 5: Solve for x
    x = 1,107,078,543,684/748,044
  6. Step 6: Final answer
    x = 1,479,964.47

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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.