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Finding the Third Proportional to 761,038 and 1,639,811

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Solution

The third proportional to 761,038 and 1,639,811 is: 3,533,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,038 : 1,639,811 = 1,639,811 : x
  2. Step 2: Convert to fraction form
    761,038/1,639,811 = 1,639,811/x
  3. Step 3: Cross multiply
    761,038x = 1,639,811 × 1,639,811
  4. Step 4: Simplify right side
    761,038x = 2,688,980,115,721
  5. Step 5: Solve for x
    x = 2,688,980,115,721/761,038
  6. Step 6: Final answer
    x = 3,533,305.98

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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.