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Finding the Third Proportional to 948,465 and 1,446,329.25

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Solution

The third proportional to 948,465 and 1,446,329.25 is: 2,205,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,465 : 1,446,329.25 = 1,446,329.25 : x
  2. Step 2: Convert to fraction form
    948,465/1,446,329.25 = 1,446,329.25/x
  3. Step 3: Cross multiply
    948,465x = 1,446,329.25 × 1,446,329.25
  4. Step 4: Simplify right side
    948,465x = 2,091,868,299,405.56
  5. Step 5: Solve for x
    x = 2,091,868,299,405.56/948,465
  6. Step 6: Final answer
    x = 2,205,530.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.