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Finding the Third Proportional to 407,518 and 895,710

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Solution

The third proportional to 407,518 and 895,710 is: 1,968,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,518 : 895,710 = 895,710 : x
  2. Step 2: Convert to fraction form
    407,518/895,710 = 895,710/x
  3. Step 3: Cross multiply
    407,518x = 895,710 × 895,710
  4. Step 4: Simplify right side
    407,518x = 802,296,404,100
  5. Step 5: Solve for x
    x = 802,296,404,100/407,518
  6. Step 6: Final answer
    x = 1,968,738.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.