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Finding the Third Proportional to 1,623,694.50 and 2,570,895

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Solution

The third proportional to 1,623,694.50 and 2,570,895 is: 4,070,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623,694.50 : 2,570,895 = 2,570,895 : x
  2. Step 2: Convert to fraction form
    1,623,694.50/2,570,895 = 2,570,895/x
  3. Step 3: Cross multiply
    1,623,694.50x = 2,570,895 × 2,570,895
  4. Step 4: Simplify right side
    1,623,694.50x = 6,609,501,101,025
  5. Step 5: Solve for x
    x = 6,609,501,101,025/1,623,694.50
  6. Step 6: Final answer
    x = 4,070,655.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.