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Finding the Third Proportional to 1,354,934.25 and 2,943,877.50

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Solution

The third proportional to 1,354,934.25 and 2,943,877.50 is: 6,396,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,934.25 : 2,943,877.50 = 2,943,877.50 : x
  2. Step 2: Convert to fraction form
    1,354,934.25/2,943,877.50 = 2,943,877.50/x
  3. Step 3: Cross multiply
    1,354,934.25x = 2,943,877.50 × 2,943,877.50
  4. Step 4: Simplify right side
    1,354,934.25x = 8,666,414,735,006.25
  5. Step 5: Solve for x
    x = 8,666,414,735,006.25/1,354,934.25
  6. Step 6: Final answer
    x = 6,396,188.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.