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Finding the Third Proportional to 867,852 and 1,884,972

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Solution

The third proportional to 867,852 and 1,884,972 is: 4,094,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,852 : 1,884,972 = 1,884,972 : x
  2. Step 2: Convert to fraction form
    867,852/1,884,972 = 1,884,972/x
  3. Step 3: Cross multiply
    867,852x = 1,884,972 × 1,884,972
  4. Step 4: Simplify right side
    867,852x = 3,553,119,440,784
  5. Step 5: Solve for x
    x = 3,553,119,440,784/867,852
  6. Step 6: Final answer
    x = 4,094,153.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.