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Finding the Third Proportional to 819,475.50 and 1,240,641

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Solution

The third proportional to 819,475.50 and 1,240,641 is: 1,878,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,475.50 : 1,240,641 = 1,240,641 : x
  2. Step 2: Convert to fraction form
    819,475.50/1,240,641 = 1,240,641/x
  3. Step 3: Cross multiply
    819,475.50x = 1,240,641 × 1,240,641
  4. Step 4: Simplify right side
    819,475.50x = 1,539,190,090,881
  5. Step 5: Solve for x
    x = 1,539,190,090,881/819,475.50
  6. Step 6: Final answer
    x = 1,878,262.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.