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Finding the Third Proportional to 953,230 and 1,397,768

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Solution

The third proportional to 953,230 and 1,397,768 is: 2,049,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,230 : 1,397,768 = 1,397,768 : x
  2. Step 2: Convert to fraction form
    953,230/1,397,768 = 1,397,768/x
  3. Step 3: Cross multiply
    953,230x = 1,397,768 × 1,397,768
  4. Step 4: Simplify right side
    953,230x = 1,953,755,381,824
  5. Step 5: Solve for x
    x = 1,953,755,381,824/953,230
  6. Step 6: Final answer
    x = 2,049,615.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.