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Finding the Third Proportional to 675,186 and 1,020,007.50

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Solution

The third proportional to 675,186 and 1,020,007.50 is: 1,540,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,186 : 1,020,007.50 = 1,020,007.50 : x
  2. Step 2: Convert to fraction form
    675,186/1,020,007.50 = 1,020,007.50/x
  3. Step 3: Cross multiply
    675,186x = 1,020,007.50 × 1,020,007.50
  4. Step 4: Simplify right side
    675,186x = 1,040,415,300,056.25
  5. Step 5: Solve for x
    x = 1,040,415,300,056.25/675,186
  6. Step 6: Final answer
    x = 1,540,931.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.