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Finding the Third Proportional to 2,369,009.50 and 3,639,088.50

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Solution

The third proportional to 2,369,009.50 and 3,639,088.50 is: 5,590,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,009.50 : 3,639,088.50 = 3,639,088.50 : x
  2. Step 2: Convert to fraction form
    2,369,009.50/3,639,088.50 = 3,639,088.50/x
  3. Step 3: Cross multiply
    2,369,009.50x = 3,639,088.50 × 3,639,088.50
  4. Step 4: Simplify right side
    2,369,009.50x = 13,242,965,110,832.25
  5. Step 5: Solve for x
    x = 13,242,965,110,832.25/2,369,009.50
  6. Step 6: Final answer
    x = 5,590,085.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.