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Finding the Third Proportional to 917,771 and 1,968,399

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Solution

The third proportional to 917,771 and 1,968,399 is: 4,221,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,771 : 1,968,399 = 1,968,399 : x
  2. Step 2: Convert to fraction form
    917,771/1,968,399 = 1,968,399/x
  3. Step 3: Cross multiply
    917,771x = 1,968,399 × 1,968,399
  4. Step 4: Simplify right side
    917,771x = 3,874,594,623,201
  5. Step 5: Solve for x
    x = 3,874,594,623,201/917,771
  6. Step 6: Final answer
    x = 4,221,744.45

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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.