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Finding the Third Proportional to 1,878,670.97 and 2,813,051.53

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Solution

The third proportional to 1,878,670.97 and 2,813,051.53 is: 4,212,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,670.97 : 2,813,051.53 = 2,813,051.53 : x
  2. Step 2: Convert to fraction form
    1,878,670.97/2,813,051.53 = 2,813,051.53/x
  3. Step 3: Cross multiply
    1,878,670.97x = 2,813,051.53 × 2,813,051.53
  4. Step 4: Simplify right side
    1,878,670.97x = 7,913,258,917,467.97
  5. Step 5: Solve for x
    x = 7,913,258,917,467.97/1,878,670.97
  6. Step 6: Final answer
    x = 4,212,157.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.