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Finding the Third Proportional to 524,281 and 1,146,685

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Solution

The third proportional to 524,281 and 1,146,685 is: 2,507,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,281 : 1,146,685 = 1,146,685 : x
  2. Step 2: Convert to fraction form
    524,281/1,146,685 = 1,146,685/x
  3. Step 3: Cross multiply
    524,281x = 1,146,685 × 1,146,685
  4. Step 4: Simplify right side
    524,281x = 1,314,886,489,225
  5. Step 5: Solve for x
    x = 1,314,886,489,225/524,281
  6. Step 6: Final answer
    x = 2,507,980.43

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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.