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Finding the Third Proportional to 532,860 and 1,141,296

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Solution

The third proportional to 532,860 and 1,141,296 is: 2,444,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,860 : 1,141,296 = 1,141,296 : x
  2. Step 2: Convert to fraction form
    532,860/1,141,296 = 1,141,296/x
  3. Step 3: Cross multiply
    532,860x = 1,141,296 × 1,141,296
  4. Step 4: Simplify right side
    532,860x = 1,302,556,559,616
  5. Step 5: Solve for x
    x = 1,302,556,559,616/532,860
  6. Step 6: Final answer
    x = 2,444,463.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.