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Finding the Third Proportional to 3,370,594.50 and 4,769,289

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Solution

The third proportional to 3,370,594.50 and 4,769,289 is: 6,748,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370,594.50 : 4,769,289 = 4,769,289 : x
  2. Step 2: Convert to fraction form
    3,370,594.50/4,769,289 = 4,769,289/x
  3. Step 3: Cross multiply
    3,370,594.50x = 4,769,289 × 4,769,289
  4. Step 4: Simplify right side
    3,370,594.50x = 22,746,117,565,521
  5. Step 5: Solve for x
    x = 22,746,117,565,521/3,370,594.50
  6. Step 6: Final answer
    x = 6,748,399.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.