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Finding the Third Proportional to 454,074.50 and 973,346

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Solution

The third proportional to 454,074.50 and 973,346 is: 2,086,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,074.50 : 973,346 = 973,346 : x
  2. Step 2: Convert to fraction form
    454,074.50/973,346 = 973,346/x
  3. Step 3: Cross multiply
    454,074.50x = 973,346 × 973,346
  4. Step 4: Simplify right side
    454,074.50x = 947,402,435,716
  5. Step 5: Solve for x
    x = 947,402,435,716/454,074.50
  6. Step 6: Final answer
    x = 2,086,447.13

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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.