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Finding the Third Proportional to 529,810 and 1,144,476

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Solution

The third proportional to 529,810 and 1,144,476 is: 2,472,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,810 : 1,144,476 = 1,144,476 : x
  2. Step 2: Convert to fraction form
    529,810/1,144,476 = 1,144,476/x
  3. Step 3: Cross multiply
    529,810x = 1,144,476 × 1,144,476
  4. Step 4: Simplify right side
    529,810x = 1,309,825,314,576
  5. Step 5: Solve for x
    x = 1,309,825,314,576/529,810
  6. Step 6: Final answer
    x = 2,472,254.80

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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.