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Finding the Third Proportional to 3,211,522 and 4,696,713

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Solution

The third proportional to 3,211,522 and 4,696,713 is: 6,868,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,522 : 4,696,713 = 4,696,713 : x
  2. Step 2: Convert to fraction form
    3,211,522/4,696,713 = 4,696,713/x
  3. Step 3: Cross multiply
    3,211,522x = 4,696,713 × 4,696,713
  4. Step 4: Simplify right side
    3,211,522x = 22,059,113,004,369
  5. Step 5: Solve for x
    x = 22,059,113,004,369/3,211,522
  6. Step 6: Final answer
    x = 6,868,741.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.