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Finding the Third Proportional to 1,005,526.50 and 2,142,601.50

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Solution

The third proportional to 1,005,526.50 and 2,142,601.50 is: 4,565,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,526.50 : 2,142,601.50 = 2,142,601.50 : x
  2. Step 2: Convert to fraction form
    1,005,526.50/2,142,601.50 = 2,142,601.50/x
  3. Step 3: Cross multiply
    1,005,526.50x = 2,142,601.50 × 2,142,601.50
  4. Step 4: Simplify right side
    1,005,526.50x = 4,590,741,187,802.25
  5. Step 5: Solve for x
    x = 4,590,741,187,802.25/1,005,526.50
  6. Step 6: Final answer
    x = 4,565,509.90

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.