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Finding the Third Proportional to 756,497 and 1,639,072

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Solution

The third proportional to 756,497 and 1,639,072 is: 3,551,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,497 : 1,639,072 = 1,639,072 : x
  2. Step 2: Convert to fraction form
    756,497/1,639,072 = 1,639,072/x
  3. Step 3: Cross multiply
    756,497x = 1,639,072 × 1,639,072
  4. Step 4: Simplify right side
    756,497x = 2,686,557,021,184
  5. Step 5: Solve for x
    x = 2,686,557,021,184/756,497
  6. Step 6: Final answer
    x = 3,551,312.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.