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Finding the Third Proportional to 565,507 and 1,170,380

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Solution

The third proportional to 565,507 and 1,170,380 is: 2,422,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,507 : 1,170,380 = 1,170,380 : x
  2. Step 2: Convert to fraction form
    565,507/1,170,380 = 1,170,380/x
  3. Step 3: Cross multiply
    565,507x = 1,170,380 × 1,170,380
  4. Step 4: Simplify right side
    565,507x = 1,369,789,344,400
  5. Step 5: Solve for x
    x = 1,369,789,344,400/565,507
  6. Step 6: Final answer
    x = 2,422,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.