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Finding the Third Proportional to 945,216 and 1,435,299

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Solution

The third proportional to 945,216 and 1,435,299 is: 2,179,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,216 : 1,435,299 = 1,435,299 : x
  2. Step 2: Convert to fraction form
    945,216/1,435,299 = 1,435,299/x
  3. Step 3: Cross multiply
    945,216x = 1,435,299 × 1,435,299
  4. Step 4: Simplify right side
    945,216x = 2,060,083,219,401
  5. Step 5: Solve for x
    x = 2,060,083,219,401/945,216
  6. Step 6: Final answer
    x = 2,179,484.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.