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Finding the Third Proportional to 978,467.34 and 1,493,008.45

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Solution

The third proportional to 978,467.34 and 1,493,008.45 is: 2,278,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,467.34 : 1,493,008.45 = 1,493,008.45 : x
  2. Step 2: Convert to fraction form
    978,467.34/1,493,008.45 = 1,493,008.45/x
  3. Step 3: Cross multiply
    978,467.34x = 1,493,008.45 × 1,493,008.45
  4. Step 4: Simplify right side
    978,467.34x = 2,229,074,241,102.71
  5. Step 5: Solve for x
    x = 2,229,074,241,102.71/978,467.34
  6. Step 6: Final answer
    x = 2,278,128.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.