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Finding the Third Proportional to 498,301 and 1,063,039

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Solution

The third proportional to 498,301 and 1,063,039 is: 2,267,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,301 : 1,063,039 = 1,063,039 : x
  2. Step 2: Convert to fraction form
    498,301/1,063,039 = 1,063,039/x
  3. Step 3: Cross multiply
    498,301x = 1,063,039 × 1,063,039
  4. Step 4: Simplify right side
    498,301x = 1,130,051,915,521
  5. Step 5: Solve for x
    x = 1,130,051,915,521/498,301
  6. Step 6: Final answer
    x = 2,267,809.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.