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Finding the Third Proportional to 770,263 and 1,662,315

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Solution

The third proportional to 770,263 and 1,662,315 is: 3,587,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,263 : 1,662,315 = 1,662,315 : x
  2. Step 2: Convert to fraction form
    770,263/1,662,315 = 1,662,315/x
  3. Step 3: Cross multiply
    770,263x = 1,662,315 × 1,662,315
  4. Step 4: Simplify right side
    770,263x = 2,763,291,159,225
  5. Step 5: Solve for x
    x = 2,763,291,159,225/770,263
  6. Step 6: Final answer
    x = 3,587,464.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.