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Finding the Third Proportional to 411,124.38 and 990,444.81

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Solution

The third proportional to 411,124.38 and 990,444.81 is: 2,386,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,124.38 : 990,444.81 = 990,444.81 : x
  2. Step 2: Convert to fraction form
    411,124.38/990,444.81 = 990,444.81/x
  3. Step 3: Cross multiply
    411,124.38x = 990,444.81 × 990,444.81
  4. Step 4: Simplify right side
    411,124.38x = 980,980,926,608.16
  5. Step 5: Solve for x
    x = 980,980,926,608.16/411,124.38
  6. Step 6: Final answer
    x = 2,386,092.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.