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Finding the Third Proportional to 785,472 and 1,201,053

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Solution

The third proportional to 785,472 and 1,201,053 is: 1,836,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,472 : 1,201,053 = 1,201,053 : x
  2. Step 2: Convert to fraction form
    785,472/1,201,053 = 1,201,053/x
  3. Step 3: Cross multiply
    785,472x = 1,201,053 × 1,201,053
  4. Step 4: Simplify right side
    785,472x = 1,442,528,308,809
  5. Step 5: Solve for x
    x = 1,442,528,308,809/785,472
  6. Step 6: Final answer
    x = 1,836,511.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.