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Finding the Third Proportional to 976,455 and 1,478,452.50

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Solution

The third proportional to 976,455 and 1,478,452.50 is: 2,238,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,455 : 1,478,452.50 = 1,478,452.50 : x
  2. Step 2: Convert to fraction form
    976,455/1,478,452.50 = 1,478,452.50/x
  3. Step 3: Cross multiply
    976,455x = 1,478,452.50 × 1,478,452.50
  4. Step 4: Simplify right side
    976,455x = 2,185,821,794,756.25
  5. Step 5: Solve for x
    x = 2,185,821,794,756.25/976,455
  6. Step 6: Final answer
    x = 2,238,527.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.