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Finding the Third Proportional to 686,990 and 1,465,280

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Solution

The third proportional to 686,990 and 1,465,280 is: 3,125,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,990 : 1,465,280 = 1,465,280 : x
  2. Step 2: Convert to fraction form
    686,990/1,465,280 = 1,465,280/x
  3. Step 3: Cross multiply
    686,990x = 1,465,280 × 1,465,280
  4. Step 4: Simplify right side
    686,990x = 2,147,045,478,400
  5. Step 5: Solve for x
    x = 2,147,045,478,400/686,990
  6. Step 6: Final answer
    x = 3,125,293.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.