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Finding the Third Proportional to 1,314,692 and 1,878,724

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Solution

The third proportional to 1,314,692 and 1,878,724 is: 2,684,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,692 : 1,878,724 = 1,878,724 : x
  2. Step 2: Convert to fraction form
    1,314,692/1,878,724 = 1,878,724/x
  3. Step 3: Cross multiply
    1,314,692x = 1,878,724 × 1,878,724
  4. Step 4: Simplify right side
    1,314,692x = 3,529,603,868,176
  5. Step 5: Solve for x
    x = 3,529,603,868,176/1,314,692
  6. Step 6: Final answer
    x = 2,684,738.23

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