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Finding the Third Proportional to 704,561.63 and 1,570,485.38

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Solution

The third proportional to 704,561.63 and 1,570,485.38 is: 3,500,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,561.63 : 1,570,485.38 = 1,570,485.38 : x
  2. Step 2: Convert to fraction form
    704,561.63/1,570,485.38 = 1,570,485.38/x
  3. Step 3: Cross multiply
    704,561.63x = 1,570,485.38 × 1,570,485.38
  4. Step 4: Simplify right side
    704,561.63x = 2,466,424,313,088.89
  5. Step 5: Solve for x
    x = 2,466,424,313,088.89/704,561.63
  6. Step 6: Final answer
    x = 3,500,650.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.