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Finding the Third Proportional to 877,216 and 1,878,976

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Solution

The third proportional to 877,216 and 1,878,976 is: 4,024,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,216 : 1,878,976 = 1,878,976 : x
  2. Step 2: Convert to fraction form
    877,216/1,878,976 = 1,878,976/x
  3. Step 3: Cross multiply
    877,216x = 1,878,976 × 1,878,976
  4. Step 4: Simplify right side
    877,216x = 3,530,550,808,576
  5. Step 5: Solve for x
    x = 3,530,550,808,576/877,216
  6. Step 6: Final answer
    x = 4,024,722.31

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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.