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Finding the Third Proportional to 705,547.50 and 1,548,124.50

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Solution

The third proportional to 705,547.50 and 1,548,124.50 is: 3,396,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,547.50 : 1,548,124.50 = 1,548,124.50 : x
  2. Step 2: Convert to fraction form
    705,547.50/1,548,124.50 = 1,548,124.50/x
  3. Step 3: Cross multiply
    705,547.50x = 1,548,124.50 × 1,548,124.50
  4. Step 4: Simplify right side
    705,547.50x = 2,396,689,467,500.25
  5. Step 5: Solve for x
    x = 2,396,689,467,500.25/705,547.50
  6. Step 6: Final answer
    x = 3,396,921.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.