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Finding the Third Proportional to 966,242 and 1,420,947

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Solution

The third proportional to 966,242 and 1,420,947 is: 2,089,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,242 : 1,420,947 = 1,420,947 : x
  2. Step 2: Convert to fraction form
    966,242/1,420,947 = 1,420,947/x
  3. Step 3: Cross multiply
    966,242x = 1,420,947 × 1,420,947
  4. Step 4: Simplify right side
    966,242x = 2,019,090,376,809
  5. Step 5: Solve for x
    x = 2,019,090,376,809/966,242
  6. Step 6: Final answer
    x = 2,089,632.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.