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Finding the Third Proportional to 569,668.50 and 1,215,585

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Solution

The third proportional to 569,668.50 and 1,215,585 is: 2,593,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,668.50 : 1,215,585 = 1,215,585 : x
  2. Step 2: Convert to fraction form
    569,668.50/1,215,585 = 1,215,585/x
  3. Step 3: Cross multiply
    569,668.50x = 1,215,585 × 1,215,585
  4. Step 4: Simplify right side
    569,668.50x = 1,477,646,892,225
  5. Step 5: Solve for x
    x = 1,477,646,892,225/569,668.50
  6. Step 6: Final answer
    x = 2,593,871.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.