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Finding the Third Proportional to 2,564,395 and 4,060,658

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Solution

The third proportional to 2,564,395 and 4,060,658 is: 6,429,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,395 : 4,060,658 = 4,060,658 : x
  2. Step 2: Convert to fraction form
    2,564,395/4,060,658 = 4,060,658/x
  3. Step 3: Cross multiply
    2,564,395x = 4,060,658 × 4,060,658
  4. Step 4: Simplify right side
    2,564,395x = 16,488,943,392,964
  5. Step 5: Solve for x
    x = 16,488,943,392,964/2,564,395
  6. Step 6: Final answer
    x = 6,429,954.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.