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Finding the Third Proportional to 970,716 and 1,469,647.50

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Solution

The third proportional to 970,716 and 1,469,647.50 is: 2,225,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,716 : 1,469,647.50 = 1,469,647.50 : x
  2. Step 2: Convert to fraction form
    970,716/1,469,647.50 = 1,469,647.50/x
  3. Step 3: Cross multiply
    970,716x = 1,469,647.50 × 1,469,647.50
  4. Step 4: Simplify right side
    970,716x = 2,159,863,774,256.25
  5. Step 5: Solve for x
    x = 2,159,863,774,256.25/970,716
  6. Step 6: Final answer
    x = 2,225,021.30

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Why These Related Problems?

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