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Finding the Third Proportional to 4,953,924 and 6,976,172

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Solution

The third proportional to 4,953,924 and 6,976,172 is: 9,823,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953,924 : 6,976,172 = 6,976,172 : x
  2. Step 2: Convert to fraction form
    4,953,924/6,976,172 = 6,976,172/x
  3. Step 3: Cross multiply
    4,953,924x = 6,976,172 × 6,976,172
  4. Step 4: Simplify right side
    4,953,924x = 48,666,975,773,584
  5. Step 5: Solve for x
    x = 48,666,975,773,584/4,953,924
  6. Step 6: Final answer
    x = 9,823,924.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.