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Finding the Third Proportional to 685,166 and 1,475,316

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Solution

The third proportional to 685,166 and 1,475,316 is: 3,176,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,166 : 1,475,316 = 1,475,316 : x
  2. Step 2: Convert to fraction form
    685,166/1,475,316 = 1,475,316/x
  3. Step 3: Cross multiply
    685,166x = 1,475,316 × 1,475,316
  4. Step 4: Simplify right side
    685,166x = 2,176,557,299,856
  5. Step 5: Solve for x
    x = 2,176,557,299,856/685,166
  6. Step 6: Final answer
    x = 3,176,686.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.