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Finding the Third Proportional to 1,576,938 and 2,470,905

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Solution

The third proportional to 1,576,938 and 2,470,905 is: 3,871,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,938 : 2,470,905 = 2,470,905 : x
  2. Step 2: Convert to fraction form
    1,576,938/2,470,905 = 2,470,905/x
  3. Step 3: Cross multiply
    1,576,938x = 2,470,905 × 2,470,905
  4. Step 4: Simplify right side
    1,576,938x = 6,105,371,519,025
  5. Step 5: Solve for x
    x = 6,105,371,519,025/1,576,938
  6. Step 6: Final answer
    x = 3,871,662.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.