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Finding the Third Proportional to 761,028 and 1,639,791

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Solution

The third proportional to 761,028 and 1,639,791 is: 3,533,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,028 : 1,639,791 = 1,639,791 : x
  2. Step 2: Convert to fraction form
    761,028/1,639,791 = 1,639,791/x
  3. Step 3: Cross multiply
    761,028x = 1,639,791 × 1,639,791
  4. Step 4: Simplify right side
    761,028x = 2,688,914,523,681
  5. Step 5: Solve for x
    x = 2,688,914,523,681/761,028
  6. Step 6: Final answer
    x = 3,533,266.22

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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.