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Finding the Third Proportional to 1,477,319 and 3,175,332

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Solution

The third proportional to 1,477,319 and 3,175,332 is: 6,825,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,319 : 3,175,332 = 3,175,332 : x
  2. Step 2: Convert to fraction form
    1,477,319/3,175,332 = 3,175,332/x
  3. Step 3: Cross multiply
    1,477,319x = 3,175,332 × 3,175,332
  4. Step 4: Simplify right side
    1,477,319x = 10,082,733,310,224
  5. Step 5: Solve for x
    x = 10,082,733,310,224/1,477,319
  6. Step 6: Final answer
    x = 6,825,021.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.