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Finding the Third Proportional to 450,516 and 970,584

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Solution

The third proportional to 450,516 and 970,584 is: 2,091,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,516 : 970,584 = 970,584 : x
  2. Step 2: Convert to fraction form
    450,516/970,584 = 970,584/x
  3. Step 3: Cross multiply
    450,516x = 970,584 × 970,584
  4. Step 4: Simplify right side
    450,516x = 942,033,301,056
  5. Step 5: Solve for x
    x = 942,033,301,056/450,516
  6. Step 6: Final answer
    x = 2,091,009.64

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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.