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Finding the Third Proportional to 1,365,967 and 2,004,663.75

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Solution

The third proportional to 1,365,967 and 2,004,663.75 is: 2,942,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,967 : 2,004,663.75 = 2,004,663.75 : x
  2. Step 2: Convert to fraction form
    1,365,967/2,004,663.75 = 2,004,663.75/x
  3. Step 3: Cross multiply
    1,365,967x = 2,004,663.75 × 2,004,663.75
  4. Step 4: Simplify right side
    1,365,967x = 4,018,676,750,564.06
  5. Step 5: Solve for x
    x = 4,018,676,750,564.06/1,365,967
  6. Step 6: Final answer
    x = 2,942,001.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.