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Finding the Third Proportional to 1,302,928.75 and 1,964,646

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Solution

The third proportional to 1,302,928.75 and 1,964,646 is: 2,962,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,928.75 : 1,964,646 = 1,964,646 : x
  2. Step 2: Convert to fraction form
    1,302,928.75/1,964,646 = 1,964,646/x
  3. Step 3: Cross multiply
    1,302,928.75x = 1,964,646 × 1,964,646
  4. Step 4: Simplify right side
    1,302,928.75x = 3,859,833,905,316
  5. Step 5: Solve for x
    x = 3,859,833,905,316/1,302,928.75
  6. Step 6: Final answer
    x = 2,962,428.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.