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Finding the Third Proportional to 2,709,564.86 and 3,989,498.06

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Solution

The third proportional to 2,709,564.86 and 3,989,498.06 is: 5,874,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,564.86 : 3,989,498.06 = 3,989,498.06 : x
  2. Step 2: Convert to fraction form
    2,709,564.86/3,989,498.06 = 3,989,498.06/x
  3. Step 3: Cross multiply
    2,709,564.86x = 3,989,498.06 × 3,989,498.06
  4. Step 4: Simplify right side
    2,709,564.86x = 15,916,094,790,691.25
  5. Step 5: Solve for x
    x = 15,916,094,790,691.25/2,709,564.86
  6. Step 6: Final answer
    x = 5,874,040.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.