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Finding the Third Proportional to 1,010,310 and 1,197,144

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Solution

The third proportional to 1,010,310 and 1,197,144 is: 1,418,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,310 : 1,197,144 = 1,197,144 : x
  2. Step 2: Convert to fraction form
    1,010,310/1,197,144 = 1,197,144/x
  3. Step 3: Cross multiply
    1,010,310x = 1,197,144 × 1,197,144
  4. Step 4: Simplify right side
    1,010,310x = 1,433,153,756,736
  5. Step 5: Solve for x
    x = 1,433,153,756,736/1,010,310
  6. Step 6: Final answer
    x = 1,418,528.73

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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.