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Finding the Third Proportional to 619,840 and 872,856

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Solution

The third proportional to 619,840 and 872,856 is: 1,229,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,840 : 872,856 = 872,856 : x
  2. Step 2: Convert to fraction form
    619,840/872,856 = 872,856/x
  3. Step 3: Cross multiply
    619,840x = 872,856 × 872,856
  4. Step 4: Simplify right side
    619,840x = 761,877,596,736
  5. Step 5: Solve for x
    x = 761,877,596,736/619,840
  6. Step 6: Final answer
    x = 1,229,152.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.