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Finding the Third Proportional to 972,914 and 2,089,684

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Solution

The third proportional to 972,914 and 2,089,684 is: 4,488,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,914 : 2,089,684 = 2,089,684 : x
  2. Step 2: Convert to fraction form
    972,914/2,089,684 = 2,089,684/x
  3. Step 3: Cross multiply
    972,914x = 2,089,684 × 2,089,684
  4. Step 4: Simplify right side
    972,914x = 4,366,779,219,856
  5. Step 5: Solve for x
    x = 4,366,779,219,856/972,914
  6. Step 6: Final answer
    x = 4,488,350.69

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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.