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Finding the Third Proportional to 509,056 and 1,005,263

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Solution

The third proportional to 509,056 and 1,005,263 is: 1,985,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,056 : 1,005,263 = 1,005,263 : x
  2. Step 2: Convert to fraction form
    509,056/1,005,263 = 1,005,263/x
  3. Step 3: Cross multiply
    509,056x = 1,005,263 × 1,005,263
  4. Step 4: Simplify right side
    509,056x = 1,010,553,699,169
  5. Step 5: Solve for x
    x = 1,010,553,699,169/509,056
  6. Step 6: Final answer
    x = 1,985,152.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.