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Finding the Third Proportional to 831,560 and 1,254,856

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Solution

The third proportional to 831,560 and 1,254,856 is: 1,893,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,560 : 1,254,856 = 1,254,856 : x
  2. Step 2: Convert to fraction form
    831,560/1,254,856 = 1,254,856/x
  3. Step 3: Cross multiply
    831,560x = 1,254,856 × 1,254,856
  4. Step 4: Simplify right side
    831,560x = 1,574,663,580,736
  5. Step 5: Solve for x
    x = 1,574,663,580,736/831,560
  6. Step 6: Final answer
    x = 1,893,625.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.