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Finding the Third Proportional to 1,683,010 and 3,651,358

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Solution

The third proportional to 1,683,010 and 3,651,358 is: 7,921,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,010 : 3,651,358 = 3,651,358 : x
  2. Step 2: Convert to fraction form
    1,683,010/3,651,358 = 3,651,358/x
  3. Step 3: Cross multiply
    1,683,010x = 3,651,358 × 3,651,358
  4. Step 4: Simplify right side
    1,683,010x = 13,332,415,244,164
  5. Step 5: Solve for x
    x = 13,332,415,244,164/1,683,010
  6. Step 6: Final answer
    x = 7,921,768.29

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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.