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Finding the Third Proportional to 931,829.06 and 2,032,345.69

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Solution

The third proportional to 931,829.06 and 2,032,345.69 is: 4,432,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,829.06 : 2,032,345.69 = 2,032,345.69 : x
  2. Step 2: Convert to fraction form
    931,829.06/2,032,345.69 = 2,032,345.69/x
  3. Step 3: Cross multiply
    931,829.06x = 2,032,345.69 × 2,032,345.69
  4. Step 4: Simplify right side
    931,829.06x = 4,130,428,993,499.85
  5. Step 5: Solve for x
    x = 4,130,428,993,499.85/931,829.06
  6. Step 6: Final answer
    x = 4,432,603.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.