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Finding the Third Proportional to 678,547.97 and 1,033,741.41

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Solution

The third proportional to 678,547.97 and 1,033,741.41 is: 1,574,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,547.97 : 1,033,741.41 = 1,033,741.41 : x
  2. Step 2: Convert to fraction form
    678,547.97/1,033,741.41 = 1,033,741.41/x
  3. Step 3: Cross multiply
    678,547.97x = 1,033,741.41 × 1,033,741.41
  4. Step 4: Simplify right side
    678,547.97x = 1,068,621,294,995.73
  5. Step 5: Solve for x
    x = 1,068,621,294,995.73/678,547.97
  6. Step 6: Final answer
    x = 1,574,864.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.