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Finding the Third Proportional to 771,960 and 1,675,944

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Solution

The third proportional to 771,960 and 1,675,944 is: 3,638,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,960 : 1,675,944 = 1,675,944 : x
  2. Step 2: Convert to fraction form
    771,960/1,675,944 = 1,675,944/x
  3. Step 3: Cross multiply
    771,960x = 1,675,944 × 1,675,944
  4. Step 4: Simplify right side
    771,960x = 2,808,788,291,136
  5. Step 5: Solve for x
    x = 2,808,788,291,136/771,960
  6. Step 6: Final answer
    x = 3,638,515.33

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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.