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Finding the Third Proportional to 1,208,920.50 and 1,828,929.38

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Solution

The third proportional to 1,208,920.50 and 1,828,929.38 is: 2,766,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,920.50 : 1,828,929.38 = 1,828,929.38 : x
  2. Step 2: Convert to fraction form
    1,208,920.50/1,828,929.38 = 1,828,929.38/x
  3. Step 3: Cross multiply
    1,208,920.50x = 1,828,929.38 × 1,828,929.38
  4. Step 4: Simplify right side
    1,208,920.50x = 3,344,982,658,737.89
  5. Step 5: Solve for x
    x = 3,344,982,658,737.89/1,208,920.50
  6. Step 6: Final answer
    x = 2,766,916.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.