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Finding the Third Proportional to 448,839 and 973,972.13

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Solution

The third proportional to 448,839 and 973,972.13 is: 2,113,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,839 : 973,972.13 = 973,972.13 : x
  2. Step 2: Convert to fraction form
    448,839/973,972.13 = 973,972.13/x
  3. Step 3: Cross multiply
    448,839x = 973,972.13 × 973,972.13
  4. Step 4: Simplify right side
    448,839x = 948,621,700,277.02
  5. Step 5: Solve for x
    x = 948,621,700,277.02/448,839
  6. Step 6: Final answer
    x = 2,113,501.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.