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Finding the Third Proportional to 851,070 and 1,836,633

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Solution

The third proportional to 851,070 and 1,836,633 is: 3,963,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,070 : 1,836,633 = 1,836,633 : x
  2. Step 2: Convert to fraction form
    851,070/1,836,633 = 1,836,633/x
  3. Step 3: Cross multiply
    851,070x = 1,836,633 × 1,836,633
  4. Step 4: Simplify right side
    851,070x = 3,373,220,776,689
  5. Step 5: Solve for x
    x = 3,373,220,776,689/851,070
  6. Step 6: Final answer
    x = 3,963,505.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.