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Finding the Third Proportional to 1,021,086 and 1,695,897

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Solution

The third proportional to 1,021,086 and 1,695,897 is: 2,816,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,086 : 1,695,897 = 1,695,897 : x
  2. Step 2: Convert to fraction form
    1,021,086/1,695,897 = 1,695,897/x
  3. Step 3: Cross multiply
    1,021,086x = 1,695,897 × 1,695,897
  4. Step 4: Simplify right side
    1,021,086x = 2,876,066,634,609
  5. Step 5: Solve for x
    x = 2,876,066,634,609/1,021,086
  6. Step 6: Final answer
    x = 2,816,674.24

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.