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Finding the Third Proportional to 2,129,946 and 3,217,095

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Solution

The third proportional to 2,129,946 and 3,217,095 is: 4,859,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,946 : 3,217,095 = 3,217,095 : x
  2. Step 2: Convert to fraction form
    2,129,946/3,217,095 = 3,217,095/x
  3. Step 3: Cross multiply
    2,129,946x = 3,217,095 × 3,217,095
  4. Step 4: Simplify right side
    2,129,946x = 10,349,700,239,025
  5. Step 5: Solve for x
    x = 10,349,700,239,025/2,129,946
  6. Step 6: Final answer
    x = 4,859,137.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.