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Finding the Third Proportional to 623,152 and 1,351,280

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Solution

The third proportional to 623,152 and 1,351,280 is: 2,930,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,152 : 1,351,280 = 1,351,280 : x
  2. Step 2: Convert to fraction form
    623,152/1,351,280 = 1,351,280/x
  3. Step 3: Cross multiply
    623,152x = 1,351,280 × 1,351,280
  4. Step 4: Simplify right side
    623,152x = 1,825,957,638,400
  5. Step 5: Solve for x
    x = 1,825,957,638,400/623,152
  6. Step 6: Final answer
    x = 2,930,196.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.