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Finding the Third Proportional to 972,806 and 1,462,323

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Solution

The third proportional to 972,806 and 1,462,323 is: 2,198,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,806 : 1,462,323 = 1,462,323 : x
  2. Step 2: Convert to fraction form
    972,806/1,462,323 = 1,462,323/x
  3. Step 3: Cross multiply
    972,806x = 1,462,323 × 1,462,323
  4. Step 4: Simplify right side
    972,806x = 2,138,388,556,329
  5. Step 5: Solve for x
    x = 2,138,388,556,329/972,806
  6. Step 6: Final answer
    x = 2,198,165.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.