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Finding the Third Proportional to 3,174,563 and 4,790,465

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Solution

The third proportional to 3,174,563 and 4,790,465 is: 7,228,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,563 : 4,790,465 = 4,790,465 : x
  2. Step 2: Convert to fraction form
    3,174,563/4,790,465 = 4,790,465/x
  3. Step 3: Cross multiply
    3,174,563x = 4,790,465 × 4,790,465
  4. Step 4: Simplify right side
    3,174,563x = 22,948,554,916,225
  5. Step 5: Solve for x
    x = 22,948,554,916,225/3,174,563
  6. Step 6: Final answer
    x = 7,228,886.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.