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Finding the Third Proportional to 1,101,925 and 1,684,532

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Solution

The third proportional to 1,101,925 and 1,684,532 is: 2,575,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,925 : 1,684,532 = 1,684,532 : x
  2. Step 2: Convert to fraction form
    1,101,925/1,684,532 = 1,684,532/x
  3. Step 3: Cross multiply
    1,101,925x = 1,684,532 × 1,684,532
  4. Step 4: Simplify right side
    1,101,925x = 2,837,648,059,024
  5. Step 5: Solve for x
    x = 2,837,648,059,024/1,101,925
  6. Step 6: Final answer
    x = 2,575,173.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.