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Finding the Third Proportional to 673,272 and 1,475,316

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Solution

The third proportional to 673,272 and 1,475,316 is: 3,232,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,272 : 1,475,316 = 1,475,316 : x
  2. Step 2: Convert to fraction form
    673,272/1,475,316 = 1,475,316/x
  3. Step 3: Cross multiply
    673,272x = 1,475,316 × 1,475,316
  4. Step 4: Simplify right side
    673,272x = 2,176,557,299,856
  5. Step 5: Solve for x
    x = 2,176,557,299,856/673,272
  6. Step 6: Final answer
    x = 3,232,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.