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Finding the Third Proportional to 692,900 and 1,565,030

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Solution

The third proportional to 692,900 and 1,565,030 is: 3,534,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,900 : 1,565,030 = 1,565,030 : x
  2. Step 2: Convert to fraction form
    692,900/1,565,030 = 1,565,030/x
  3. Step 3: Cross multiply
    692,900x = 1,565,030 × 1,565,030
  4. Step 4: Simplify right side
    692,900x = 2,449,318,900,900
  5. Step 5: Solve for x
    x = 2,449,318,900,900/692,900
  6. Step 6: Final answer
    x = 3,534,880.79

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.