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Finding the Third Proportional to 1,293,826 and 1,852,664

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Solution

The third proportional to 1,293,826 and 1,852,664 is: 2,652,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,826 : 1,852,664 = 1,852,664 : x
  2. Step 2: Convert to fraction form
    1,293,826/1,852,664 = 1,852,664/x
  3. Step 3: Cross multiply
    1,293,826x = 1,852,664 × 1,852,664
  4. Step 4: Simplify right side
    1,293,826x = 3,432,363,896,896
  5. Step 5: Solve for x
    x = 3,432,363,896,896/1,293,826
  6. Step 6: Final answer
    x = 2,652,879.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.