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Finding the Third Proportional to 1,477,574 and 3,133,071

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Solution

The third proportional to 1,477,574 and 3,133,071 is: 6,643,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,574 : 3,133,071 = 3,133,071 : x
  2. Step 2: Convert to fraction form
    1,477,574/3,133,071 = 3,133,071/x
  3. Step 3: Cross multiply
    1,477,574x = 3,133,071 × 3,133,071
  4. Step 4: Simplify right side
    1,477,574x = 9,816,133,891,041
  5. Step 5: Solve for x
    x = 9,816,133,891,041/1,477,574
  6. Step 6: Final answer
    x = 6,643,412.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.