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Finding the Third Proportional to 1,966,918 and 2,968,465

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Solution

The third proportional to 1,966,918 and 2,968,465 is: 4,479,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,918 : 2,968,465 = 2,968,465 : x
  2. Step 2: Convert to fraction form
    1,966,918/2,968,465 = 2,968,465/x
  3. Step 3: Cross multiply
    1,966,918x = 2,968,465 × 2,968,465
  4. Step 4: Simplify right side
    1,966,918x = 8,811,784,456,225
  5. Step 5: Solve for x
    x = 8,811,784,456,225/1,966,918
  6. Step 6: Final answer
    x = 4,479,995.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.