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Finding the Third Proportional to 520,839 and 1,141,389

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Solution

The third proportional to 520,839 and 1,141,389 is: 2,501,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,839 : 1,141,389 = 1,141,389 : x
  2. Step 2: Convert to fraction form
    520,839/1,141,389 = 1,141,389/x
  3. Step 3: Cross multiply
    520,839x = 1,141,389 × 1,141,389
  4. Step 4: Simplify right side
    520,839x = 1,302,768,849,321
  5. Step 5: Solve for x
    x = 1,302,768,849,321/520,839
  6. Step 6: Final answer
    x = 2,501,288.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.