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Finding the Third Proportional to 862,146 and 2,013,669

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Solution

The third proportional to 862,146 and 2,013,669 is: 4,703,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,146 : 2,013,669 = 2,013,669 : x
  2. Step 2: Convert to fraction form
    862,146/2,013,669 = 2,013,669/x
  3. Step 3: Cross multiply
    862,146x = 2,013,669 × 2,013,669
  4. Step 4: Simplify right side
    862,146x = 4,054,862,841,561
  5. Step 5: Solve for x
    x = 4,054,862,841,561/862,146
  6. Step 6: Final answer
    x = 4,703,220.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.