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Finding the Third Proportional to 602,201 and 1,309,377

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Solution

The third proportional to 602,201 and 1,309,377 is: 2,847,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,201 : 1,309,377 = 1,309,377 : x
  2. Step 2: Convert to fraction form
    602,201/1,309,377 = 1,309,377/x
  3. Step 3: Cross multiply
    602,201x = 1,309,377 × 1,309,377
  4. Step 4: Simplify right side
    602,201x = 1,714,468,128,129
  5. Step 5: Solve for x
    x = 1,714,468,128,129/602,201
  6. Step 6: Final answer
    x = 2,847,003.12

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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.