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Finding the Third Proportional to 1,507,840 and 3,277,376

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Solution

The third proportional to 1,507,840 and 3,277,376 is: 7,123,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,840 : 3,277,376 = 3,277,376 : x
  2. Step 2: Convert to fraction form
    1,507,840/3,277,376 = 3,277,376/x
  3. Step 3: Cross multiply
    1,507,840x = 3,277,376 × 3,277,376
  4. Step 4: Simplify right side
    1,507,840x = 10,741,193,445,376
  5. Step 5: Solve for x
    x = 10,741,193,445,376/1,507,840
  6. Step 6: Final answer
    x = 7,123,563.14

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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.