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Finding the Third Proportional to 1,464,024 and 3,172,416

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Solution

The third proportional to 1,464,024 and 3,172,416 is: 6,874,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,024 : 3,172,416 = 3,172,416 : x
  2. Step 2: Convert to fraction form
    1,464,024/3,172,416 = 3,172,416/x
  3. Step 3: Cross multiply
    1,464,024x = 3,172,416 × 3,172,416
  4. Step 4: Simplify right side
    1,464,024x = 10,064,223,277,056
  5. Step 5: Solve for x
    x = 10,064,223,277,056/1,464,024
  6. Step 6: Final answer
    x = 6,874,356.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.