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Finding the Third Proportional to 468,282 and 1,011,444

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Solution

The third proportional to 468,282 and 1,011,444 is: 2,184,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,282 : 1,011,444 = 1,011,444 : x
  2. Step 2: Convert to fraction form
    468,282/1,011,444 = 1,011,444/x
  3. Step 3: Cross multiply
    468,282x = 1,011,444 × 1,011,444
  4. Step 4: Simplify right side
    468,282x = 1,023,018,965,136
  5. Step 5: Solve for x
    x = 1,023,018,965,136/468,282
  6. Step 6: Final answer
    x = 2,184,621.59

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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.