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Finding the Third Proportional to 576,205 and 1,244,732

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Solution

The third proportional to 576,205 and 1,244,732 is: 2,688,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,205 : 1,244,732 = 1,244,732 : x
  2. Step 2: Convert to fraction form
    576,205/1,244,732 = 1,244,732/x
  3. Step 3: Cross multiply
    576,205x = 1,244,732 × 1,244,732
  4. Step 4: Simplify right side
    576,205x = 1,549,357,751,824
  5. Step 5: Solve for x
    x = 1,549,357,751,824/576,205
  6. Step 6: Final answer
    x = 2,688,900.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.