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Finding the Third Proportional to 871,821 and 1,177,537.50

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Solution

The third proportional to 871,821 and 1,177,537.50 is: 1,590,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,821 : 1,177,537.50 = 1,177,537.50 : x
  2. Step 2: Convert to fraction form
    871,821/1,177,537.50 = 1,177,537.50/x
  3. Step 3: Cross multiply
    871,821x = 1,177,537.50 × 1,177,537.50
  4. Step 4: Simplify right side
    871,821x = 1,386,594,563,906.25
  5. Step 5: Solve for x
    x = 1,386,594,563,906.25/871,821
  6. Step 6: Final answer
    x = 1,590,457.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.