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Finding the Third Proportional to 976,450 and 1,478,445

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Solution

The third proportional to 976,450 and 1,478,445 is: 2,238,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,450 : 1,478,445 = 1,478,445 : x
  2. Step 2: Convert to fraction form
    976,450/1,478,445 = 1,478,445/x
  3. Step 3: Cross multiply
    976,450x = 1,478,445 × 1,478,445
  4. Step 4: Simplify right side
    976,450x = 2,185,799,618,025
  5. Step 5: Solve for x
    x = 2,185,799,618,025/976,450
  6. Step 6: Final answer
    x = 2,238,516.69

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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.