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Finding the Third Proportional to 447,570 and 973,842

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Solution

The third proportional to 447,570 and 973,842 is: 2,118,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,570 : 973,842 = 973,842 : x
  2. Step 2: Convert to fraction form
    447,570/973,842 = 973,842/x
  3. Step 3: Cross multiply
    447,570x = 973,842 × 973,842
  4. Step 4: Simplify right side
    447,570x = 948,368,240,964
  5. Step 5: Solve for x
    x = 948,368,240,964/447,570
  6. Step 6: Final answer
    x = 2,118,927.19

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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.