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Finding the Third Proportional to 902,052 and 1,355,670

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Solution

The third proportional to 902,052 and 1,355,670 is: 2,037,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,052 : 1,355,670 = 1,355,670 : x
  2. Step 2: Convert to fraction form
    902,052/1,355,670 = 1,355,670/x
  3. Step 3: Cross multiply
    902,052x = 1,355,670 × 1,355,670
  4. Step 4: Simplify right side
    902,052x = 1,837,841,148,900
  5. Step 5: Solve for x
    x = 1,837,841,148,900/902,052
  6. Step 6: Final answer
    x = 2,037,400.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.