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Finding the Third Proportional to 476,290 and 1,018,087

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Solution

The third proportional to 476,290 and 1,018,087 is: 2,176,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,290 : 1,018,087 = 1,018,087 : x
  2. Step 2: Convert to fraction form
    476,290/1,018,087 = 1,018,087/x
  3. Step 3: Cross multiply
    476,290x = 1,018,087 × 1,018,087
  4. Step 4: Simplify right side
    476,290x = 1,036,501,139,569
  5. Step 5: Solve for x
    x = 1,036,501,139,569/476,290
  6. Step 6: Final answer
    x = 2,176,197.57

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