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Finding the Third Proportional to 1,442,284 and 3,077,610

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Solution

The third proportional to 1,442,284 and 3,077,610 is: 6,567,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,284 : 3,077,610 = 3,077,610 : x
  2. Step 2: Convert to fraction form
    1,442,284/3,077,610 = 3,077,610/x
  3. Step 3: Cross multiply
    1,442,284x = 3,077,610 × 3,077,610
  4. Step 4: Simplify right side
    1,442,284x = 9,471,683,312,100
  5. Step 5: Solve for x
    x = 9,471,683,312,100/1,442,284
  6. Step 6: Final answer
    x = 6,567,141.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.