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Finding the Third Proportional to 524,155 and 1,147,534

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Solution

The third proportional to 524,155 and 1,147,534 is: 2,512,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,155 : 1,147,534 = 1,147,534 : x
  2. Step 2: Convert to fraction form
    524,155/1,147,534 = 1,147,534/x
  3. Step 3: Cross multiply
    524,155x = 1,147,534 × 1,147,534
  4. Step 4: Simplify right side
    524,155x = 1,316,834,281,156
  5. Step 5: Solve for x
    x = 1,316,834,281,156/524,155
  6. Step 6: Final answer
    x = 2,512,299.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.