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Finding the Third Proportional to 749,824.59 and 1,071,493.31

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Solution

The third proportional to 749,824.59 and 1,071,493.31 is: 1,531,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,824.59 : 1,071,493.31 = 1,071,493.31 : x
  2. Step 2: Convert to fraction form
    749,824.59/1,071,493.31 = 1,071,493.31/x
  3. Step 3: Cross multiply
    749,824.59x = 1,071,493.31 × 1,071,493.31
  4. Step 4: Simplify right side
    749,824.59x = 1,148,097,918,732.22
  5. Step 5: Solve for x
    x = 1,148,097,918,732.22/749,824.59
  6. Step 6: Final answer
    x = 1,531,155.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.