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Finding the Third Proportional to 665,990 and 1,456,316

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Solution

The third proportional to 665,990 and 1,456,316 is: 3,184,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,990 : 1,456,316 = 1,456,316 : x
  2. Step 2: Convert to fraction form
    665,990/1,456,316 = 1,456,316/x
  3. Step 3: Cross multiply
    665,990x = 1,456,316 × 1,456,316
  4. Step 4: Simplify right side
    665,990x = 2,120,856,291,856
  5. Step 5: Solve for x
    x = 2,120,856,291,856/665,990
  6. Step 6: Final answer
    x = 3,184,516.72

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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.