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Finding the Third Proportional to 2,913,148 and 4,410,209

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Solution

The third proportional to 2,913,148 and 4,410,209 is: 6,676,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,148 : 4,410,209 = 4,410,209 : x
  2. Step 2: Convert to fraction form
    2,913,148/4,410,209 = 4,410,209/x
  3. Step 3: Cross multiply
    2,913,148x = 4,410,209 × 4,410,209
  4. Step 4: Simplify right side
    2,913,148x = 19,449,943,423,681
  5. Step 5: Solve for x
    x = 19,449,943,423,681/2,913,148
  6. Step 6: Final answer
    x = 6,676,606.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.