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Finding the Third Proportional to 509,130 and 1,005,408

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Solution

The third proportional to 509,130 and 1,005,408 is: 1,985,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,130 : 1,005,408 = 1,005,408 : x
  2. Step 2: Convert to fraction form
    509,130/1,005,408 = 1,005,408/x
  3. Step 3: Cross multiply
    509,130x = 1,005,408 × 1,005,408
  4. Step 4: Simplify right side
    509,130x = 1,010,845,246,464
  5. Step 5: Solve for x
    x = 1,010,845,246,464/509,130
  6. Step 6: Final answer
    x = 1,985,436.42

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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.