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Finding the Third Proportional to 1,583,210 and 3,733,637

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Solution

The third proportional to 1,583,210 and 3,733,637 is: 8,804,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,210 : 3,733,637 = 3,733,637 : x
  2. Step 2: Convert to fraction form
    1,583,210/3,733,637 = 3,733,637/x
  3. Step 3: Cross multiply
    1,583,210x = 3,733,637 × 3,733,637
  4. Step 4: Simplify right side
    1,583,210x = 13,940,045,247,769
  5. Step 5: Solve for x
    x = 13,940,045,247,769/1,583,210
  6. Step 6: Final answer
    x = 8,804,924.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.