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Finding the Third Proportional to 1,036,886 and 1,586,902

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Solution

The third proportional to 1,036,886 and 1,586,902 is: 2,428,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,886 : 1,586,902 = 1,586,902 : x
  2. Step 2: Convert to fraction form
    1,036,886/1,586,902 = 1,586,902/x
  3. Step 3: Cross multiply
    1,036,886x = 1,586,902 × 1,586,902
  4. Step 4: Simplify right side
    1,036,886x = 2,518,257,957,604
  5. Step 5: Solve for x
    x = 2,518,257,957,604/1,036,886
  6. Step 6: Final answer
    x = 2,428,673.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.