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Finding the Third Proportional to 707,162.44 and 1,574,386.13

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Solution

The third proportional to 707,162.44 and 1,574,386.13 is: 3,505,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,162.44 : 1,574,386.13 = 1,574,386.13 : x
  2. Step 2: Convert to fraction form
    707,162.44/1,574,386.13 = 1,574,386.13/x
  3. Step 3: Cross multiply
    707,162.44x = 1,574,386.13 × 1,574,386.13
  4. Step 4: Simplify right side
    707,162.44x = 2,478,691,670,592.52
  5. Step 5: Solve for x
    x = 2,478,691,670,592.52/707,162.44
  6. Step 6: Final answer
    x = 3,505,123.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.