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Finding the Third Proportional to 2,065,042 and 4,429,010

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Solution

The third proportional to 2,065,042 and 4,429,010 is: 9,499,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,042 : 4,429,010 = 4,429,010 : x
  2. Step 2: Convert to fraction form
    2,065,042/4,429,010 = 4,429,010/x
  3. Step 3: Cross multiply
    2,065,042x = 4,429,010 × 4,429,010
  4. Step 4: Simplify right side
    2,065,042x = 19,616,129,580,100
  5. Step 5: Solve for x
    x = 19,616,129,580,100/2,065,042
  6. Step 6: Final answer
    x = 9,499,143.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.