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Finding the Third Proportional to 700,718 and 1,082,130

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Solution

The third proportional to 700,718 and 1,082,130 is: 1,671,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,718 : 1,082,130 = 1,082,130 : x
  2. Step 2: Convert to fraction form
    700,718/1,082,130 = 1,082,130/x
  3. Step 3: Cross multiply
    700,718x = 1,082,130 × 1,082,130
  4. Step 4: Simplify right side
    700,718x = 1,171,005,336,900
  5. Step 5: Solve for x
    x = 1,171,005,336,900/700,718
  6. Step 6: Final answer
    x = 1,671,150.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.