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Finding the Third Proportional to 1,638,190 and 2,564,236

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Solution

The third proportional to 1,638,190 and 2,564,236 is: 4,013,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,190 : 2,564,236 = 2,564,236 : x
  2. Step 2: Convert to fraction form
    1,638,190/2,564,236 = 2,564,236/x
  3. Step 3: Cross multiply
    1,638,190x = 2,564,236 × 2,564,236
  4. Step 4: Simplify right side
    1,638,190x = 6,575,306,263,696
  5. Step 5: Solve for x
    x = 6,575,306,263,696/1,638,190
  6. Step 6: Final answer
    x = 4,013,762.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.