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Finding the Third Proportional to 1,371,249 and 2,953,221

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Solution

The third proportional to 1,371,249 and 2,953,221 is: 6,360,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,249 : 2,953,221 = 2,953,221 : x
  2. Step 2: Convert to fraction form
    1,371,249/2,953,221 = 2,953,221/x
  3. Step 3: Cross multiply
    1,371,249x = 2,953,221 × 2,953,221
  4. Step 4: Simplify right side
    1,371,249x = 8,721,514,274,841
  5. Step 5: Solve for x
    x = 8,721,514,274,841/1,371,249
  6. Step 6: Final answer
    x = 6,360,270.29

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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.