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Finding the Third Proportional to 446,746 and 973,817

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Solution

The third proportional to 446,746 and 973,817 is: 2,122,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,746 : 973,817 = 973,817 : x
  2. Step 2: Convert to fraction form
    446,746/973,817 = 973,817/x
  3. Step 3: Cross multiply
    446,746x = 973,817 × 973,817
  4. Step 4: Simplify right side
    446,746x = 948,319,549,489
  5. Step 5: Solve for x
    x = 948,319,549,489/446,746
  6. Step 6: Final answer
    x = 2,122,726.45

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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.