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Finding the Third Proportional to 1,507,824 and 3,277,440

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Solution

The third proportional to 1,507,824 and 3,277,440 is: 7,123,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,824 : 3,277,440 = 3,277,440 : x
  2. Step 2: Convert to fraction form
    1,507,824/3,277,440 = 3,277,440/x
  3. Step 3: Cross multiply
    1,507,824x = 3,277,440 × 3,277,440
  4. Step 4: Simplify right side
    1,507,824x = 10,741,612,953,600
  5. Step 5: Solve for x
    x = 10,741,612,953,600/1,507,824
  6. Step 6: Final answer
    x = 7,123,916.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.