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Finding the Third Proportional to 589,717.34 and 1,289,842.10

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Solution

The third proportional to 589,717.34 and 1,289,842.10 is: 2,821,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,717.34 : 1,289,842.10 = 1,289,842.10 : x
  2. Step 2: Convert to fraction form
    589,717.34/1,289,842.10 = 1,289,842.10/x
  3. Step 3: Cross multiply
    589,717.34x = 1,289,842.10 × 1,289,842.10
  4. Step 4: Simplify right side
    589,717.34x = 1,663,692,646,963.17
  5. Step 5: Solve for x
    x = 1,663,692,646,963.17/589,717.34
  6. Step 6: Final answer
    x = 2,821,169.64

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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.