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Finding the Third Proportional to 458,036 and 983,896

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Solution

The third proportional to 458,036 and 983,896 is: 2,113,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,036 : 983,896 = 983,896 : x
  2. Step 2: Convert to fraction form
    458,036/983,896 = 983,896/x
  3. Step 3: Cross multiply
    458,036x = 983,896 × 983,896
  4. Step 4: Simplify right side
    458,036x = 968,051,338,816
  5. Step 5: Solve for x
    x = 968,051,338,816/458,036
  6. Step 6: Final answer
    x = 2,113,483.09

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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.