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Finding the Third Proportional to 931,980 and 1,999,896

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Solution

The third proportional to 931,980 and 1,999,896 is: 4,291,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,980 : 1,999,896 = 1,999,896 : x
  2. Step 2: Convert to fraction form
    931,980/1,999,896 = 1,999,896/x
  3. Step 3: Cross multiply
    931,980x = 1,999,896 × 1,999,896
  4. Step 4: Simplify right side
    931,980x = 3,999,584,010,816
  5. Step 5: Solve for x
    x = 3,999,584,010,816/931,980
  6. Step 6: Final answer
    x = 4,291,491.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.