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Finding the Third Proportional to 692,354 and 1,454,686

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Solution

The third proportional to 692,354 and 1,454,686 is: 3,056,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,354 : 1,454,686 = 1,454,686 : x
  2. Step 2: Convert to fraction form
    692,354/1,454,686 = 1,454,686/x
  3. Step 3: Cross multiply
    692,354x = 1,454,686 × 1,454,686
  4. Step 4: Simplify right side
    692,354x = 2,116,111,358,596
  5. Step 5: Solve for x
    x = 2,116,111,358,596/692,354
  6. Step 6: Final answer
    x = 3,056,400.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.