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Finding the Third Proportional to 901,998 and 1,957,896

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Solution

The third proportional to 901,998 and 1,957,896 is: 4,249,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,998 : 1,957,896 = 1,957,896 : x
  2. Step 2: Convert to fraction form
    901,998/1,957,896 = 1,957,896/x
  3. Step 3: Cross multiply
    901,998x = 1,957,896 × 1,957,896
  4. Step 4: Simplify right side
    901,998x = 3,833,356,746,816
  5. Step 5: Solve for x
    x = 3,833,356,746,816/901,998
  6. Step 6: Final answer
    x = 4,249,850.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.