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Finding the Third Proportional to 448,780 and 972,329

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Solution

The third proportional to 448,780 and 972,329 is: 2,106,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,780 : 972,329 = 972,329 : x
  2. Step 2: Convert to fraction form
    448,780/972,329 = 972,329/x
  3. Step 3: Cross multiply
    448,780x = 972,329 × 972,329
  4. Step 4: Simplify right side
    448,780x = 945,423,684,241
  5. Step 5: Solve for x
    x = 945,423,684,241/448,780
  6. Step 6: Final answer
    x = 2,106,652.89

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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.