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Finding the Third Proportional to 641,277 and 1,354,968

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Solution

The third proportional to 641,277 and 1,354,968 is: 2,862,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,277 : 1,354,968 = 1,354,968 : x
  2. Step 2: Convert to fraction form
    641,277/1,354,968 = 1,354,968/x
  3. Step 3: Cross multiply
    641,277x = 1,354,968 × 1,354,968
  4. Step 4: Simplify right side
    641,277x = 1,835,938,281,024
  5. Step 5: Solve for x
    x = 1,835,938,281,024/641,277
  6. Step 6: Final answer
    x = 2,862,941.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.