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Finding the Third Proportional to 976,326 and 1,460,953

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Solution

The third proportional to 976,326 and 1,460,953 is: 2,186,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,326 : 1,460,953 = 1,460,953 : x
  2. Step 2: Convert to fraction form
    976,326/1,460,953 = 1,460,953/x
  3. Step 3: Cross multiply
    976,326x = 1,460,953 × 1,460,953
  4. Step 4: Simplify right side
    976,326x = 2,134,383,668,209
  5. Step 5: Solve for x
    x = 2,134,383,668,209/976,326
  6. Step 6: Final answer
    x = 2,186,138.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.