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Finding the Third Proportional to 2,208,506 and 4,764,964

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Solution

The third proportional to 2,208,506 and 4,764,964 is: 10,280,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,506 : 4,764,964 = 4,764,964 : x
  2. Step 2: Convert to fraction form
    2,208,506/4,764,964 = 4,764,964/x
  3. Step 3: Cross multiply
    2,208,506x = 4,764,964 × 4,764,964
  4. Step 4: Simplify right side
    2,208,506x = 22,704,881,921,296
  5. Step 5: Solve for x
    x = 22,704,881,921,296/2,208,506
  6. Step 6: Final answer
    x = 10,280,652.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.