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Finding the Third Proportional to 923,686.88 and 1,470,905.06

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Solution

The third proportional to 923,686.88 and 1,470,905.06 is: 2,342,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,686.88 : 1,470,905.06 = 1,470,905.06 : x
  2. Step 2: Convert to fraction form
    923,686.88/1,470,905.06 = 1,470,905.06/x
  3. Step 3: Cross multiply
    923,686.88x = 1,470,905.06 × 1,470,905.06
  4. Step 4: Simplify right side
    923,686.88x = 2,163,561,702,888.13
  5. Step 5: Solve for x
    x = 2,163,561,702,888.13/923,686.88
  6. Step 6: Final answer
    x = 2,342,310.76

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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.