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Finding the Third Proportional to 1,321,878.23 and 1,783,525.08

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Solution

The third proportional to 1,321,878.23 and 1,783,525.08 is: 2,406,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,878.23 : 1,783,525.08 = 1,783,525.08 : x
  2. Step 2: Convert to fraction form
    1,321,878.23/1,783,525.08 = 1,783,525.08/x
  3. Step 3: Cross multiply
    1,321,878.23x = 1,783,525.08 × 1,783,525.08
  4. Step 4: Simplify right side
    1,321,878.23x = 3,180,961,704,300.79
  5. Step 5: Solve for x
    x = 3,180,961,704,300.79/1,321,878.23
  6. Step 6: Final answer
    x = 2,406,395.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.