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Finding the Third Proportional to 704,544 and 1,091,160

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Solution

The third proportional to 704,544 and 1,091,160 is: 1,689,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,544 : 1,091,160 = 1,091,160 : x
  2. Step 2: Convert to fraction form
    704,544/1,091,160 = 1,091,160/x
  3. Step 3: Cross multiply
    704,544x = 1,091,160 × 1,091,160
  4. Step 4: Simplify right side
    704,544x = 1,190,630,145,600
  5. Step 5: Solve for x
    x = 1,190,630,145,600/704,544
  6. Step 6: Final answer
    x = 1,689,930.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.