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Finding the Third Proportional to 4,473,471 and 6,884,590

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Solution

The third proportional to 4,473,471 and 6,884,590 is: 10,595,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473,471 : 6,884,590 = 6,884,590 : x
  2. Step 2: Convert to fraction form
    4,473,471/6,884,590 = 6,884,590/x
  3. Step 3: Cross multiply
    4,473,471x = 6,884,590 × 6,884,590
  4. Step 4: Simplify right side
    4,473,471x = 47,397,579,468,100
  5. Step 5: Solve for x
    x = 47,397,579,468,100/4,473,471
  6. Step 6: Final answer
    x = 10,595,258.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.