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Finding the Third Proportional to 784,854 and 1,640,772

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Solution

The third proportional to 784,854 and 1,640,772 is: 3,430,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,854 : 1,640,772 = 1,640,772 : x
  2. Step 2: Convert to fraction form
    784,854/1,640,772 = 1,640,772/x
  3. Step 3: Cross multiply
    784,854x = 1,640,772 × 1,640,772
  4. Step 4: Simplify right side
    784,854x = 2,692,132,755,984
  5. Step 5: Solve for x
    x = 2,692,132,755,984/784,854
  6. Step 6: Final answer
    x = 3,430,106.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.