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Finding the Third Proportional to 1,569,766 and 3,390,398

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Solution

The third proportional to 1,569,766 and 3,390,398 is: 7,322,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,766 : 3,390,398 = 3,390,398 : x
  2. Step 2: Convert to fraction form
    1,569,766/3,390,398 = 3,390,398/x
  3. Step 3: Cross multiply
    1,569,766x = 3,390,398 × 3,390,398
  4. Step 4: Simplify right side
    1,569,766x = 11,494,798,598,404
  5. Step 5: Solve for x
    x = 11,494,798,598,404/1,569,766
  6. Step 6: Final answer
    x = 7,322,619.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.