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Finding the Third Proportional to 770,532 and 1,022,409

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Solution

The third proportional to 770,532 and 1,022,409 is: 1,356,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,532 : 1,022,409 = 1,022,409 : x
  2. Step 2: Convert to fraction form
    770,532/1,022,409 = 1,022,409/x
  3. Step 3: Cross multiply
    770,532x = 1,022,409 × 1,022,409
  4. Step 4: Simplify right side
    770,532x = 1,045,320,163,281
  5. Step 5: Solve for x
    x = 1,045,320,163,281/770,532
  6. Step 6: Final answer
    x = 1,356,621.35

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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.