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Finding the Third Proportional to 520,149 and 1,117,896

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Solution

The third proportional to 520,149 and 1,117,896 is: 2,402,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,149 : 1,117,896 = 1,117,896 : x
  2. Step 2: Convert to fraction form
    520,149/1,117,896 = 1,117,896/x
  3. Step 3: Cross multiply
    520,149x = 1,117,896 × 1,117,896
  4. Step 4: Simplify right side
    520,149x = 1,249,691,466,816
  5. Step 5: Solve for x
    x = 1,249,691,466,816/520,149
  6. Step 6: Final answer
    x = 2,402,564.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.