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Finding the Third Proportional to 447,471 and 973,647

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Solution

The third proportional to 447,471 and 973,647 is: 2,118,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,471 : 973,647 = 973,647 : x
  2. Step 2: Convert to fraction form
    447,471/973,647 = 973,647/x
  3. Step 3: Cross multiply
    447,471x = 973,647 × 973,647
  4. Step 4: Simplify right side
    447,471x = 947,988,480,609
  5. Step 5: Solve for x
    x = 947,988,480,609/447,471
  6. Step 6: Final answer
    x = 2,118,547.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.