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Finding the Third Proportional to 581,809.50 and 1,234,047

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Solution

The third proportional to 581,809.50 and 1,234,047 is: 2,617,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,809.50 : 1,234,047 = 1,234,047 : x
  2. Step 2: Convert to fraction form
    581,809.50/1,234,047 = 1,234,047/x
  3. Step 3: Cross multiply
    581,809.50x = 1,234,047 × 1,234,047
  4. Step 4: Simplify right side
    581,809.50x = 1,522,871,998,209
  5. Step 5: Solve for x
    x = 1,522,871,998,209/581,809.50
  6. Step 6: Final answer
    x = 2,617,475.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.