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Finding the Third Proportional to 1,029,935 and 1,508,032

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Solution

The third proportional to 1,029,935 and 1,508,032 is: 2,208,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,935 : 1,508,032 = 1,508,032 : x
  2. Step 2: Convert to fraction form
    1,029,935/1,508,032 = 1,508,032/x
  3. Step 3: Cross multiply
    1,029,935x = 1,508,032 × 1,508,032
  4. Step 4: Simplify right side
    1,029,935x = 2,274,160,513,024
  5. Step 5: Solve for x
    x = 2,274,160,513,024/1,029,935
  6. Step 6: Final answer
    x = 2,208,062.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.