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Finding the Third Proportional to 916,164.56 and 1,974,329.72

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Solution

The third proportional to 916,164.56 and 1,974,329.72 is: 4,254,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,164.56 : 1,974,329.72 = 1,974,329.72 : x
  2. Step 2: Convert to fraction form
    916,164.56/1,974,329.72 = 1,974,329.72/x
  3. Step 3: Cross multiply
    916,164.56x = 1,974,329.72 × 1,974,329.72
  4. Step 4: Simplify right side
    916,164.56x = 3,897,977,838,339.45
  5. Step 5: Solve for x
    x = 3,897,977,838,339.45/916,164.56
  6. Step 6: Final answer
    x = 4,254,669.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.