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Finding the Third Proportional to 4,829,184 and 6,535,168

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Solution

The third proportional to 4,829,184 and 6,535,168 is: 8,843,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,184 : 6,535,168 = 6,535,168 : x
  2. Step 2: Convert to fraction form
    4,829,184/6,535,168 = 6,535,168/x
  3. Step 3: Cross multiply
    4,829,184x = 6,535,168 × 6,535,168
  4. Step 4: Simplify right side
    4,829,184x = 42,708,420,788,224
  5. Step 5: Solve for x
    x = 42,708,420,788,224/4,829,184
  6. Step 6: Final answer
    x = 8,843,817.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.