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Finding the Third Proportional to 971,057.25 and 1,470,082.50

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Solution

The third proportional to 971,057.25 and 1,470,082.50 is: 2,225,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,057.25 : 1,470,082.50 = 1,470,082.50 : x
  2. Step 2: Convert to fraction form
    971,057.25/1,470,082.50 = 1,470,082.50/x
  3. Step 3: Cross multiply
    971,057.25x = 1,470,082.50 × 1,470,082.50
  4. Step 4: Simplify right side
    971,057.25x = 2,161,142,556,806.25
  5. Step 5: Solve for x
    x = 2,161,142,556,806.25/971,057.25
  6. Step 6: Final answer
    x = 2,225,556.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.