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Finding the Third Proportional to 602,460 and 1,309,878

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Solution

The third proportional to 602,460 and 1,309,878 is: 2,847,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,460 : 1,309,878 = 1,309,878 : x
  2. Step 2: Convert to fraction form
    602,460/1,309,878 = 1,309,878/x
  3. Step 3: Cross multiply
    602,460x = 1,309,878 × 1,309,878
  4. Step 4: Simplify right side
    602,460x = 1,715,780,374,884
  5. Step 5: Solve for x
    x = 1,715,780,374,884/602,460
  6. Step 6: Final answer
    x = 2,847,957.33

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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.