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Finding the Third Proportional to 524,151 and 1,147,527

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Solution

The third proportional to 524,151 and 1,147,527 is: 2,512,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,151 : 1,147,527 = 1,147,527 : x
  2. Step 2: Convert to fraction form
    524,151/1,147,527 = 1,147,527/x
  3. Step 3: Cross multiply
    524,151x = 1,147,527 × 1,147,527
  4. Step 4: Simplify right side
    524,151x = 1,316,818,215,729
  5. Step 5: Solve for x
    x = 1,316,818,215,729/524,151
  6. Step 6: Final answer
    x = 2,512,287.90

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Why These Related Problems?

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