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Finding the Third Proportional to 869,673 and 1,953,102

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Solution

The third proportional to 869,673 and 1,953,102 is: 4,386,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,673 : 1,953,102 = 1,953,102 : x
  2. Step 2: Convert to fraction form
    869,673/1,953,102 = 1,953,102/x
  3. Step 3: Cross multiply
    869,673x = 1,953,102 × 1,953,102
  4. Step 4: Simplify right side
    869,673x = 3,814,607,422,404
  5. Step 5: Solve for x
    x = 3,814,607,422,404/869,673
  6. Step 6: Final answer
    x = 4,386,254.86

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.