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Finding the Third Proportional to 996,436 and 1,586,280

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Solution

The third proportional to 996,436 and 1,586,280 is: 2,525,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,436 : 1,586,280 = 1,586,280 : x
  2. Step 2: Convert to fraction form
    996,436/1,586,280 = 1,586,280/x
  3. Step 3: Cross multiply
    996,436x = 1,586,280 × 1,586,280
  4. Step 4: Simplify right side
    996,436x = 2,516,284,238,400
  5. Step 5: Solve for x
    x = 2,516,284,238,400/996,436
  6. Step 6: Final answer
    x = 2,525,284.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.