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Finding the Third Proportional to 917,096 and 1,223,121

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Solution

The third proportional to 917,096 and 1,223,121 is: 1,631,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,096 : 1,223,121 = 1,223,121 : x
  2. Step 2: Convert to fraction form
    917,096/1,223,121 = 1,223,121/x
  3. Step 3: Cross multiply
    917,096x = 1,223,121 × 1,223,121
  4. Step 4: Simplify right side
    917,096x = 1,496,024,980,641
  5. Step 5: Solve for x
    x = 1,496,024,980,641/917,096
  6. Step 6: Final answer
    x = 1,631,263.23

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Why These Related Problems?

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