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Finding the Third Proportional to 917,084 and 1,223,103

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Solution

The third proportional to 917,084 and 1,223,103 is: 1,631,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,084 : 1,223,103 = 1,223,103 : x
  2. Step 2: Convert to fraction form
    917,084/1,223,103 = 1,223,103/x
  3. Step 3: Cross multiply
    917,084x = 1,223,103 × 1,223,103
  4. Step 4: Simplify right side
    917,084x = 1,495,980,948,609
  5. Step 5: Solve for x
    x = 1,495,980,948,609/917,084
  6. Step 6: Final answer
    x = 1,631,236.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.