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Finding the Third Proportional to 1,473,768 and 3,196,368

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Solution

The third proportional to 1,473,768 and 3,196,368 is: 6,932,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,768 : 3,196,368 = 3,196,368 : x
  2. Step 2: Convert to fraction form
    1,473,768/3,196,368 = 3,196,368/x
  3. Step 3: Cross multiply
    1,473,768x = 3,196,368 × 3,196,368
  4. Step 4: Simplify right side
    1,473,768x = 10,216,768,391,424
  5. Step 5: Solve for x
    x = 10,216,768,391,424/1,473,768
  6. Step 6: Final answer
    x = 6,932,412.97

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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.