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Finding the Third Proportional to 414,462 and 887,730

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Solution

The third proportional to 414,462 and 887,730 is: 1,901,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,462 : 887,730 = 887,730 : x
  2. Step 2: Convert to fraction form
    414,462/887,730 = 887,730/x
  3. Step 3: Cross multiply
    414,462x = 887,730 × 887,730
  4. Step 4: Simplify right side
    414,462x = 788,064,552,900
  5. Step 5: Solve for x
    x = 788,064,552,900/414,462
  6. Step 6: Final answer
    x = 1,901,415.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.