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Finding the Third Proportional to 723,868 and 1,127,168

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Solution

The third proportional to 723,868 and 1,127,168 is: 1,755,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,868 : 1,127,168 = 1,127,168 : x
  2. Step 2: Convert to fraction form
    723,868/1,127,168 = 1,127,168/x
  3. Step 3: Cross multiply
    723,868x = 1,127,168 × 1,127,168
  4. Step 4: Simplify right side
    723,868x = 1,270,507,700,224
  5. Step 5: Solve for x
    x = 1,270,507,700,224/723,868
  6. Step 6: Final answer
    x = 1,755,164.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.