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Finding the Third Proportional to 666,495 and 1,463,312.25

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Solution

The third proportional to 666,495 and 1,463,312.25 is: 3,212,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,495 : 1,463,312.25 = 1,463,312.25 : x
  2. Step 2: Convert to fraction form
    666,495/1,463,312.25 = 1,463,312.25/x
  3. Step 3: Cross multiply
    666,495x = 1,463,312.25 × 1,463,312.25
  4. Step 4: Simplify right side
    666,495x = 2,141,282,741,000.06
  5. Step 5: Solve for x
    x = 2,141,282,741,000.06/666,495
  6. Step 6: Final answer
    x = 3,212,751.39

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Why These Related Problems?

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