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Finding the Third Proportional to 455,428 and 973,914

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Solution

The third proportional to 455,428 and 973,914 is: 2,082,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,428 : 973,914 = 973,914 : x
  2. Step 2: Convert to fraction form
    455,428/973,914 = 973,914/x
  3. Step 3: Cross multiply
    455,428x = 973,914 × 973,914
  4. Step 4: Simplify right side
    455,428x = 948,508,479,396
  5. Step 5: Solve for x
    x = 948,508,479,396/455,428
  6. Step 6: Final answer
    x = 2,082,674.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.