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Finding the Third Proportional to 970,817.50 and 2,112,079

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Solution

The third proportional to 970,817.50 and 2,112,079 is: 4,594,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,817.50 : 2,112,079 = 2,112,079 : x
  2. Step 2: Convert to fraction form
    970,817.50/2,112,079 = 2,112,079/x
  3. Step 3: Cross multiply
    970,817.50x = 2,112,079 × 2,112,079
  4. Step 4: Simplify right side
    970,817.50x = 4,460,877,702,241
  5. Step 5: Solve for x
    x = 4,460,877,702,241/970,817.50
  6. Step 6: Final answer
    x = 4,594,970.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.