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Finding the Third Proportional to 492,172 and 1,069,720

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Solution

The third proportional to 492,172 and 1,069,720 is: 2,325,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,172 : 1,069,720 = 1,069,720 : x
  2. Step 2: Convert to fraction form
    492,172/1,069,720 = 1,069,720/x
  3. Step 3: Cross multiply
    492,172x = 1,069,720 × 1,069,720
  4. Step 4: Simplify right side
    492,172x = 1,144,300,878,400
  5. Step 5: Solve for x
    x = 1,144,300,878,400/492,172
  6. Step 6: Final answer
    x = 2,325,001.99

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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.