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Finding the Third Proportional to 864,356 and 1,886,174

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Solution

The third proportional to 864,356 and 1,886,174 is: 4,115,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,356 : 1,886,174 = 1,886,174 : x
  2. Step 2: Convert to fraction form
    864,356/1,886,174 = 1,886,174/x
  3. Step 3: Cross multiply
    864,356x = 1,886,174 × 1,886,174
  4. Step 4: Simplify right side
    864,356x = 3,557,652,358,276
  5. Step 5: Solve for x
    x = 3,557,652,358,276/864,356
  6. Step 6: Final answer
    x = 4,115,957.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.