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Finding the Third Proportional to 807,971 and 1,749,658

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Solution

The third proportional to 807,971 and 1,749,658 is: 3,788,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,971 : 1,749,658 = 1,749,658 : x
  2. Step 2: Convert to fraction form
    807,971/1,749,658 = 1,749,658/x
  3. Step 3: Cross multiply
    807,971x = 1,749,658 × 1,749,658
  4. Step 4: Simplify right side
    807,971x = 3,061,303,116,964
  5. Step 5: Solve for x
    x = 3,061,303,116,964/807,971
  6. Step 6: Final answer
    x = 3,788,877.47

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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.