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Finding the Third Proportional to 540,864 and 1,014,048

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Solution

The third proportional to 540,864 and 1,014,048 is: 1,901,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,864 : 1,014,048 = 1,014,048 : x
  2. Step 2: Convert to fraction form
    540,864/1,014,048 = 1,014,048/x
  3. Step 3: Cross multiply
    540,864x = 1,014,048 × 1,014,048
  4. Step 4: Simplify right side
    540,864x = 1,028,293,346,304
  5. Step 5: Solve for x
    x = 1,028,293,346,304/540,864
  6. Step 6: Final answer
    x = 1,901,205.01

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.