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Finding the Third Proportional to 709,959.94 and 1,528,176.38

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Solution

The third proportional to 709,959.94 and 1,528,176.38 is: 3,289,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,959.94 : 1,528,176.38 = 1,528,176.38 : x
  2. Step 2: Convert to fraction form
    709,959.94/1,528,176.38 = 1,528,176.38/x
  3. Step 3: Cross multiply
    709,959.94x = 1,528,176.38 × 1,528,176.38
  4. Step 4: Simplify right side
    709,959.94x = 2,335,323,033,108.14
  5. Step 5: Solve for x
    x = 2,335,323,033,108.14/709,959.94
  6. Step 6: Final answer
    x = 3,289,372.98

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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.