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Finding the Third Proportional to 1,530,216 and 3,170,970

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Solution

The third proportional to 1,530,216 and 3,170,970 is: 6,571,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,216 : 3,170,970 = 3,170,970 : x
  2. Step 2: Convert to fraction form
    1,530,216/3,170,970 = 3,170,970/x
  3. Step 3: Cross multiply
    1,530,216x = 3,170,970 × 3,170,970
  4. Step 4: Simplify right side
    1,530,216x = 10,055,050,740,900
  5. Step 5: Solve for x
    x = 10,055,050,740,900/1,530,216
  6. Step 6: Final answer
    x = 6,571,000.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.