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Finding the Third Proportional to 965,970 and 2,118,564

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Solution

The third proportional to 965,970 and 2,118,564 is: 4,646,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,970 : 2,118,564 = 2,118,564 : x
  2. Step 2: Convert to fraction form
    965,970/2,118,564 = 2,118,564/x
  3. Step 3: Cross multiply
    965,970x = 2,118,564 × 2,118,564
  4. Step 4: Simplify right side
    965,970x = 4,488,313,422,096
  5. Step 5: Solve for x
    x = 4,488,313,422,096/965,970
  6. Step 6: Final answer
    x = 4,646,431.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.