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Finding the Third Proportional to 909,967.50 and 1,367,869.50

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Solution

The third proportional to 909,967.50 and 1,367,869.50 is: 2,056,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,967.50 : 1,367,869.50 = 1,367,869.50 : x
  2. Step 2: Convert to fraction form
    909,967.50/1,367,869.50 = 1,367,869.50/x
  3. Step 3: Cross multiply
    909,967.50x = 1,367,869.50 × 1,367,869.50
  4. Step 4: Simplify right side
    909,967.50x = 1,871,066,969,030.25
  5. Step 5: Solve for x
    x = 1,871,066,969,030.25/909,967.50
  6. Step 6: Final answer
    x = 2,056,190.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.