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Finding the Third Proportional to 965,496 and 2,121,312

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Solution

The third proportional to 965,496 and 2,121,312 is: 4,660,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,496 : 2,121,312 = 2,121,312 : x
  2. Step 2: Convert to fraction form
    965,496/2,121,312 = 2,121,312/x
  3. Step 3: Cross multiply
    965,496x = 2,121,312 × 2,121,312
  4. Step 4: Simplify right side
    965,496x = 4,499,964,601,344
  5. Step 5: Solve for x
    x = 4,499,964,601,344/965,496
  6. Step 6: Final answer
    x = 4,660,780.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.