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Finding the Third Proportional to 1,477,482.75 and 3,235,214.25

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Solution

The third proportional to 1,477,482.75 and 3,235,214.25 is: 7,084,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,482.75 : 3,235,214.25 = 3,235,214.25 : x
  2. Step 2: Convert to fraction form
    1,477,482.75/3,235,214.25 = 3,235,214.25/x
  3. Step 3: Cross multiply
    1,477,482.75x = 3,235,214.25 × 3,235,214.25
  4. Step 4: Simplify right side
    1,477,482.75x = 10,466,611,243,403.06
  5. Step 5: Solve for x
    x = 10,466,611,243,403.06/1,477,482.75
  6. Step 6: Final answer
    x = 7,084,083.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.