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Finding the Third Proportional to 1,460,617.50 and 3,154,515

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Solution

The third proportional to 1,460,617.50 and 3,154,515 is: 6,812,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,617.50 : 3,154,515 = 3,154,515 : x
  2. Step 2: Convert to fraction form
    1,460,617.50/3,154,515 = 3,154,515/x
  3. Step 3: Cross multiply
    1,460,617.50x = 3,154,515 × 3,154,515
  4. Step 4: Simplify right side
    1,460,617.50x = 9,950,964,885,225
  5. Step 5: Solve for x
    x = 9,950,964,885,225/1,460,617.50
  6. Step 6: Final answer
    x = 6,812,847.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.