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Finding the Third Proportional to 1,547,793 and 2,229,394.50

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Solution

The third proportional to 1,547,793 and 2,229,394.50 is: 3,211,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,793 : 2,229,394.50 = 2,229,394.50 : x
  2. Step 2: Convert to fraction form
    1,547,793/2,229,394.50 = 2,229,394.50/x
  3. Step 3: Cross multiply
    1,547,793x = 2,229,394.50 × 2,229,394.50
  4. Step 4: Simplify right side
    1,547,793x = 4,970,199,836,630.25
  5. Step 5: Solve for x
    x = 4,970,199,836,630.25/1,547,793
  6. Step 6: Final answer
    x = 3,211,152.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.