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Finding the Third Proportional to 602,968 and 1,310,912

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Solution

The third proportional to 602,968 and 1,310,912 is: 2,850,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,968 : 1,310,912 = 1,310,912 : x
  2. Step 2: Convert to fraction form
    602,968/1,310,912 = 1,310,912/x
  3. Step 3: Cross multiply
    602,968x = 1,310,912 × 1,310,912
  4. Step 4: Simplify right side
    602,968x = 1,718,490,271,744
  5. Step 5: Solve for x
    x = 1,718,490,271,744/602,968
  6. Step 6: Final answer
    x = 2,850,052.19

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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.