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Finding the Third Proportional to 762,240 and 1,629,492

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Solution

The third proportional to 762,240 and 1,629,492 is: 3,483,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,240 : 1,629,492 = 1,629,492 : x
  2. Step 2: Convert to fraction form
    762,240/1,629,492 = 1,629,492/x
  3. Step 3: Cross multiply
    762,240x = 1,629,492 × 1,629,492
  4. Step 4: Simplify right side
    762,240x = 2,655,244,178,064
  5. Step 5: Solve for x
    x = 2,655,244,178,064/762,240
  6. Step 6: Final answer
    x = 3,483,475.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.