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Finding the Third Proportional to 563,169 and 1,145,901

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Solution

The third proportional to 563,169 and 1,145,901 is: 2,331,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,169 : 1,145,901 = 1,145,901 : x
  2. Step 2: Convert to fraction form
    563,169/1,145,901 = 1,145,901/x
  3. Step 3: Cross multiply
    563,169x = 1,145,901 × 1,145,901
  4. Step 4: Simplify right side
    563,169x = 1,313,089,101,801
  5. Step 5: Solve for x
    x = 1,313,089,101,801/563,169
  6. Step 6: Final answer
    x = 2,331,607.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.