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Finding the Third Proportional to 574,585 and 1,165,585

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Solution

The third proportional to 574,585 and 1,165,585 is: 2,364,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,585 : 1,165,585 = 1,165,585 : x
  2. Step 2: Convert to fraction form
    574,585/1,165,585 = 1,165,585/x
  3. Step 3: Cross multiply
    574,585x = 1,165,585 × 1,165,585
  4. Step 4: Simplify right side
    574,585x = 1,358,588,392,225
  5. Step 5: Solve for x
    x = 1,358,588,392,225/574,585
  6. Step 6: Final answer
    x = 2,364,468.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.