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Finding the Third Proportional to 946,495 and 2,053,532

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Solution

The third proportional to 946,495 and 2,053,532 is: 4,455,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,495 : 2,053,532 = 2,053,532 : x
  2. Step 2: Convert to fraction form
    946,495/2,053,532 = 2,053,532/x
  3. Step 3: Cross multiply
    946,495x = 2,053,532 × 2,053,532
  4. Step 4: Simplify right side
    946,495x = 4,216,993,675,024
  5. Step 5: Solve for x
    x = 4,216,993,675,024/946,495
  6. Step 6: Final answer
    x = 4,455,378.71

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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.