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Finding the Third Proportional to 772,769 and 1,674,139

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Solution

The third proportional to 772,769 and 1,674,139 is: 3,626,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,769 : 1,674,139 = 1,674,139 : x
  2. Step 2: Convert to fraction form
    772,769/1,674,139 = 1,674,139/x
  3. Step 3: Cross multiply
    772,769x = 1,674,139 × 1,674,139
  4. Step 4: Simplify right side
    772,769x = 2,802,741,391,321
  5. Step 5: Solve for x
    x = 2,802,741,391,321/772,769
  6. Step 6: Final answer
    x = 3,626,881.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.