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Finding the Third Proportional to 1,069,777.50 and 1,457,041.50

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Solution

The third proportional to 1,069,777.50 and 1,457,041.50 is: 1,984,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,777.50 : 1,457,041.50 = 1,457,041.50 : x
  2. Step 2: Convert to fraction form
    1,069,777.50/1,457,041.50 = 1,457,041.50/x
  3. Step 3: Cross multiply
    1,069,777.50x = 1,457,041.50 × 1,457,041.50
  4. Step 4: Simplify right side
    1,069,777.50x = 2,122,969,932,722.25
  5. Step 5: Solve for x
    x = 2,122,969,932,722.25/1,069,777.50
  6. Step 6: Final answer
    x = 1,984,496.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.