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Finding the Third Proportional to 976,010 and 1,458,268

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Solution

The third proportional to 976,010 and 1,458,268 is: 2,178,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,010 : 1,458,268 = 1,458,268 : x
  2. Step 2: Convert to fraction form
    976,010/1,458,268 = 1,458,268/x
  3. Step 3: Cross multiply
    976,010x = 1,458,268 × 1,458,268
  4. Step 4: Simplify right side
    976,010x = 2,126,545,559,824
  5. Step 5: Solve for x
    x = 2,126,545,559,824/976,010
  6. Step 6: Final answer
    x = 2,178,815.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.