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Finding the Third Proportional to 414,840 and 910,032

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Solution

The third proportional to 414,840 and 910,032 is: 1,996,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,840 : 910,032 = 910,032 : x
  2. Step 2: Convert to fraction form
    414,840/910,032 = 910,032/x
  3. Step 3: Cross multiply
    414,840x = 910,032 × 910,032
  4. Step 4: Simplify right side
    414,840x = 828,158,241,024
  5. Step 5: Solve for x
    x = 828,158,241,024/414,840
  6. Step 6: Final answer
    x = 1,996,331.70

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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.