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Finding the Third Proportional to 770,004 and 1,120,014

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Solution

The third proportional to 770,004 and 1,120,014 is: 1,629,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,004 : 1,120,014 = 1,120,014 : x
  2. Step 2: Convert to fraction form
    770,004/1,120,014 = 1,120,014/x
  3. Step 3: Cross multiply
    770,004x = 1,120,014 × 1,120,014
  4. Step 4: Simplify right side
    770,004x = 1,254,431,360,196
  5. Step 5: Solve for x
    x = 1,254,431,360,196/770,004
  6. Step 6: Final answer
    x = 1,629,123.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.