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Finding the Third Proportional to 456,420 and 973,904

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Solution

The third proportional to 456,420 and 973,904 is: 2,078,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,420 : 973,904 = 973,904 : x
  2. Step 2: Convert to fraction form
    456,420/973,904 = 973,904/x
  3. Step 3: Cross multiply
    456,420x = 973,904 × 973,904
  4. Step 4: Simplify right side
    456,420x = 948,489,001,216
  5. Step 5: Solve for x
    x = 948,489,001,216/456,420
  6. Step 6: Final answer
    x = 2,078,105.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.