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Finding the Third Proportional to 1,766,430 and 3,826,312

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Solution

The third proportional to 1,766,430 and 3,826,312 is: 8,288,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,430 : 3,826,312 = 3,826,312 : x
  2. Step 2: Convert to fraction form
    1,766,430/3,826,312 = 3,826,312/x
  3. Step 3: Cross multiply
    1,766,430x = 3,826,312 × 3,826,312
  4. Step 4: Simplify right side
    1,766,430x = 14,640,663,521,344
  5. Step 5: Solve for x
    x = 14,640,663,521,344/1,766,430
  6. Step 6: Final answer
    x = 8,288,278.35

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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.