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Finding the Third Proportional to 601,071.38 and 1,269,210.75

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Solution

The third proportional to 601,071.38 and 1,269,210.75 is: 2,680,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,071.38 : 1,269,210.75 = 1,269,210.75 : x
  2. Step 2: Convert to fraction form
    601,071.38/1,269,210.75 = 1,269,210.75/x
  3. Step 3: Cross multiply
    601,071.38x = 1,269,210.75 × 1,269,210.75
  4. Step 4: Simplify right side
    601,071.38x = 1,610,895,927,915.56
  5. Step 5: Solve for x
    x = 1,610,895,927,915.56/601,071.38
  6. Step 6: Final answer
    x = 2,680,041.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.