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Finding the Third Proportional to 519,597 and 1,141,254

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Solution

The third proportional to 519,597 and 1,141,254 is: 2,506,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,597 : 1,141,254 = 1,141,254 : x
  2. Step 2: Convert to fraction form
    519,597/1,141,254 = 1,141,254/x
  3. Step 3: Cross multiply
    519,597x = 1,141,254 × 1,141,254
  4. Step 4: Simplify right side
    519,597x = 1,302,460,692,516
  5. Step 5: Solve for x
    x = 1,302,460,692,516/519,597
  6. Step 6: Final answer
    x = 2,506,674.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.