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Finding the Third Proportional to 516,466 and 1,114,508

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Solution

The third proportional to 516,466 and 1,114,508 is: 2,405,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,466 : 1,114,508 = 1,114,508 : x
  2. Step 2: Convert to fraction form
    516,466/1,114,508 = 1,114,508/x
  3. Step 3: Cross multiply
    516,466x = 1,114,508 × 1,114,508
  4. Step 4: Simplify right side
    516,466x = 1,242,128,082,064
  5. Step 5: Solve for x
    x = 1,242,128,082,064/516,466
  6. Step 6: Final answer
    x = 2,405,052.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.