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Finding the Third Proportional to 3,251,564 and 4,574,877

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Solution

The third proportional to 3,251,564 and 4,574,877 is: 6,436,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,564 : 4,574,877 = 4,574,877 : x
  2. Step 2: Convert to fraction form
    3,251,564/4,574,877 = 4,574,877/x
  3. Step 3: Cross multiply
    3,251,564x = 4,574,877 × 4,574,877
  4. Step 4: Simplify right side
    3,251,564x = 20,929,499,565,129
  5. Step 5: Solve for x
    x = 20,929,499,565,129/3,251,564
  6. Step 6: Final answer
    x = 6,436,748.46

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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.