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Finding the Third Proportional to 1,530,285 and 3,341,004

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Solution

The third proportional to 1,530,285 and 3,341,004 is: 7,294,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,285 : 3,341,004 = 3,341,004 : x
  2. Step 2: Convert to fraction form
    1,530,285/3,341,004 = 3,341,004/x
  3. Step 3: Cross multiply
    1,530,285x = 3,341,004 × 3,341,004
  4. Step 4: Simplify right side
    1,530,285x = 11,162,307,728,016
  5. Step 5: Solve for x
    x = 11,162,307,728,016/1,530,285
  6. Step 6: Final answer
    x = 7,294,267.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.