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Finding the Third Proportional to 916,523 and 2,012,350

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Solution

The third proportional to 916,523 and 2,012,350 is: 4,418,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,523 : 2,012,350 = 2,012,350 : x
  2. Step 2: Convert to fraction form
    916,523/2,012,350 = 2,012,350/x
  3. Step 3: Cross multiply
    916,523x = 2,012,350 × 2,012,350
  4. Step 4: Simplify right side
    916,523x = 4,049,552,522,500
  5. Step 5: Solve for x
    x = 4,049,552,522,500/916,523
  6. Step 6: Final answer
    x = 4,418,386.14

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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.