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Finding the Third Proportional to 972,916 and 2,089,688

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Solution

The third proportional to 972,916 and 2,089,688 is: 4,488,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,916 : 2,089,688 = 2,089,688 : x
  2. Step 2: Convert to fraction form
    972,916/2,089,688 = 2,089,688/x
  3. Step 3: Cross multiply
    972,916x = 2,089,688 × 2,089,688
  4. Step 4: Simplify right side
    972,916x = 4,366,795,937,344
  5. Step 5: Solve for x
    x = 4,366,795,937,344/972,916
  6. Step 6: Final answer
    x = 4,488,358.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.