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Finding the Third Proportional to 768,003 and 1,019,106

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Solution

The third proportional to 768,003 and 1,019,106 is: 1,352,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,003 : 1,019,106 = 1,019,106 : x
  2. Step 2: Convert to fraction form
    768,003/1,019,106 = 1,019,106/x
  3. Step 3: Cross multiply
    768,003x = 1,019,106 × 1,019,106
  4. Step 4: Simplify right side
    768,003x = 1,038,577,039,236
  5. Step 5: Solve for x
    x = 1,038,577,039,236/768,003
  6. Step 6: Final answer
    x = 1,352,308.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.