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Finding the Third Proportional to 761,025 and 1,639,785

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Solution

The third proportional to 761,025 and 1,639,785 is: 3,533,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,025 : 1,639,785 = 1,639,785 : x
  2. Step 2: Convert to fraction form
    761,025/1,639,785 = 1,639,785/x
  3. Step 3: Cross multiply
    761,025x = 1,639,785 × 1,639,785
  4. Step 4: Simplify right side
    761,025x = 2,688,894,846,225
  5. Step 5: Solve for x
    x = 2,688,894,846,225/761,025
  6. Step 6: Final answer
    x = 3,533,254.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.