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Finding the Third Proportional to 917,120 and 1,223,157

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Solution

The third proportional to 917,120 and 1,223,157 is: 1,631,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,120 : 1,223,157 = 1,223,157 : x
  2. Step 2: Convert to fraction form
    917,120/1,223,157 = 1,223,157/x
  3. Step 3: Cross multiply
    917,120x = 1,223,157 × 1,223,157
  4. Step 4: Simplify right side
    917,120x = 1,496,113,046,649
  5. Step 5: Solve for x
    x = 1,496,113,046,649/917,120
  6. Step 6: Final answer
    x = 1,631,316.56

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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.