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Finding the Third Proportional to 670,078 and 1,036,223

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Solution

The third proportional to 670,078 and 1,036,223 is: 1,602,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,078 : 1,036,223 = 1,036,223 : x
  2. Step 2: Convert to fraction form
    670,078/1,036,223 = 1,036,223/x
  3. Step 3: Cross multiply
    670,078x = 1,036,223 × 1,036,223
  4. Step 4: Simplify right side
    670,078x = 1,073,758,105,729
  5. Step 5: Solve for x
    x = 1,073,758,105,729/670,078
  6. Step 6: Final answer
    x = 1,602,437.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.