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Finding the Third Proportional to 524,938 and 1,124,502

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Solution

The third proportional to 524,938 and 1,124,502 is: 2,408,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,938 : 1,124,502 = 1,124,502 : x
  2. Step 2: Convert to fraction form
    524,938/1,124,502 = 1,124,502/x
  3. Step 3: Cross multiply
    524,938x = 1,124,502 × 1,124,502
  4. Step 4: Simplify right side
    524,938x = 1,264,504,748,004
  5. Step 5: Solve for x
    x = 1,264,504,748,004/524,938
  6. Step 6: Final answer
    x = 2,408,864.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.