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Finding the Third Proportional to 638,080 and 990,784

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Solution

The third proportional to 638,080 and 990,784 is: 1,538,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,080 : 990,784 = 990,784 : x
  2. Step 2: Convert to fraction form
    638,080/990,784 = 990,784/x
  3. Step 3: Cross multiply
    638,080x = 990,784 × 990,784
  4. Step 4: Simplify right side
    638,080x = 981,652,934,656
  5. Step 5: Solve for x
    x = 981,652,934,656/638,080
  6. Step 6: Final answer
    x = 1,538,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.