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Finding the Third Proportional to 1,775,407.50 and 3,883,032

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Solution

The third proportional to 1,775,407.50 and 3,883,032 is: 8,492,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,407.50 : 3,883,032 = 3,883,032 : x
  2. Step 2: Convert to fraction form
    1,775,407.50/3,883,032 = 3,883,032/x
  3. Step 3: Cross multiply
    1,775,407.50x = 3,883,032 × 3,883,032
  4. Step 4: Simplify right side
    1,775,407.50x = 15,077,937,513,024
  5. Step 5: Solve for x
    x = 15,077,937,513,024/1,775,407.50
  6. Step 6: Final answer
    x = 8,492,662.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.