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Finding the Third Proportional to 652,086 and 1,346,076

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Solution

The third proportional to 652,086 and 1,346,076 is: 2,778,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,086 : 1,346,076 = 1,346,076 : x
  2. Step 2: Convert to fraction form
    652,086/1,346,076 = 1,346,076/x
  3. Step 3: Cross multiply
    652,086x = 1,346,076 × 1,346,076
  4. Step 4: Simplify right side
    652,086x = 1,811,920,597,776
  5. Step 5: Solve for x
    x = 1,811,920,597,776/652,086
  6. Step 6: Final answer
    x = 2,778,652.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.