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Finding the Third Proportional to 500,076 and 1,078,338

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Solution

The third proportional to 500,076 and 1,078,338 is: 2,325,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,076 : 1,078,338 = 1,078,338 : x
  2. Step 2: Convert to fraction form
    500,076/1,078,338 = 1,078,338/x
  3. Step 3: Cross multiply
    500,076x = 1,078,338 × 1,078,338
  4. Step 4: Simplify right side
    500,076x = 1,162,812,842,244
  5. Step 5: Solve for x
    x = 1,162,812,842,244/500,076
  6. Step 6: Final answer
    x = 2,325,272.24

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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.