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Finding the Third Proportional to 973,550 and 1,452,225

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Solution

The third proportional to 973,550 and 1,452,225 is: 2,166,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,550 : 1,452,225 = 1,452,225 : x
  2. Step 2: Convert to fraction form
    973,550/1,452,225 = 1,452,225/x
  3. Step 3: Cross multiply
    973,550x = 1,452,225 × 1,452,225
  4. Step 4: Simplify right side
    973,550x = 2,108,957,450,625
  5. Step 5: Solve for x
    x = 2,108,957,450,625/973,550
  6. Step 6: Final answer
    x = 2,166,254.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.