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Finding the Third Proportional to 923,686.88 and 1,470,903.75

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Solution

The third proportional to 923,686.88 and 1,470,903.75 is: 2,342,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,686.88 : 1,470,903.75 = 1,470,903.75 : x
  2. Step 2: Convert to fraction form
    923,686.88/1,470,903.75 = 1,470,903.75/x
  3. Step 3: Cross multiply
    923,686.88x = 1,470,903.75 × 1,470,903.75
  4. Step 4: Simplify right side
    923,686.88x = 2,163,557,841,764.06
  5. Step 5: Solve for x
    x = 2,163,557,841,764.06/923,686.88
  6. Step 6: Final answer
    x = 2,342,306.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.