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Finding the Third Proportional to 810,024 and 1,671,888

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Solution

The third proportional to 810,024 and 1,671,888 is: 3,450,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,024 : 1,671,888 = 1,671,888 : x
  2. Step 2: Convert to fraction form
    810,024/1,671,888 = 1,671,888/x
  3. Step 3: Cross multiply
    810,024x = 1,671,888 × 1,671,888
  4. Step 4: Simplify right side
    810,024x = 2,795,209,484,544
  5. Step 5: Solve for x
    x = 2,795,209,484,544/810,024
  6. Step 6: Final answer
    x = 3,450,773.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.