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Finding the Third Proportional to 1,085,740 and 1,427,736

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Solution

The third proportional to 1,085,740 and 1,427,736 is: 1,877,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,740 : 1,427,736 = 1,427,736 : x
  2. Step 2: Convert to fraction form
    1,085,740/1,427,736 = 1,427,736/x
  3. Step 3: Cross multiply
    1,085,740x = 1,427,736 × 1,427,736
  4. Step 4: Simplify right side
    1,085,740x = 2,038,430,085,696
  5. Step 5: Solve for x
    x = 2,038,430,085,696/1,085,740
  6. Step 6: Final answer
    x = 1,877,456.93

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.