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Finding the Third Proportional to 1,009,212 and 1,193,532

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Solution

The third proportional to 1,009,212 and 1,193,532 is: 1,411,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,212 : 1,193,532 = 1,193,532 : x
  2. Step 2: Convert to fraction form
    1,009,212/1,193,532 = 1,193,532/x
  3. Step 3: Cross multiply
    1,009,212x = 1,193,532 × 1,193,532
  4. Step 4: Simplify right side
    1,009,212x = 1,424,518,635,024
  5. Step 5: Solve for x
    x = 1,424,518,635,024/1,009,212
  6. Step 6: Final answer
    x = 1,411,515.75

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.