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Finding the Third Proportional to 1,576,930 and 2,470,891

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Solution

The third proportional to 1,576,930 and 2,470,891 is: 3,871,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,930 : 2,470,891 = 2,470,891 : x
  2. Step 2: Convert to fraction form
    1,576,930/2,470,891 = 2,470,891/x
  3. Step 3: Cross multiply
    1,576,930x = 2,470,891 × 2,470,891
  4. Step 4: Simplify right side
    1,576,930x = 6,105,302,333,881
  5. Step 5: Solve for x
    x = 6,105,302,333,881/1,576,930
  6. Step 6: Final answer
    x = 3,871,638.14

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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.