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Finding the Third Proportional to 464,372 and 1,006,029

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Solution

The third proportional to 464,372 and 1,006,029 is: 2,179,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,372 : 1,006,029 = 1,006,029 : x
  2. Step 2: Convert to fraction form
    464,372/1,006,029 = 1,006,029/x
  3. Step 3: Cross multiply
    464,372x = 1,006,029 × 1,006,029
  4. Step 4: Simplify right side
    464,372x = 1,012,094,348,841
  5. Step 5: Solve for x
    x = 1,012,094,348,841/464,372
  6. Step 6: Final answer
    x = 2,179,490.47

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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.