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Finding the Third Proportional to 506,016 and 1,087,076

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Solution

The third proportional to 506,016 and 1,087,076 is: 2,335,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,016 : 1,087,076 = 1,087,076 : x
  2. Step 2: Convert to fraction form
    506,016/1,087,076 = 1,087,076/x
  3. Step 3: Cross multiply
    506,016x = 1,087,076 × 1,087,076
  4. Step 4: Simplify right side
    506,016x = 1,181,734,229,776
  5. Step 5: Solve for x
    x = 1,181,734,229,776/506,016
  6. Step 6: Final answer
    x = 2,335,369.30

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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.