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Finding the Third Proportional to 1,683,216 and 2,607,552

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Solution

The third proportional to 1,683,216 and 2,607,552 is: 4,039,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,216 : 2,607,552 = 2,607,552 : x
  2. Step 2: Convert to fraction form
    1,683,216/2,607,552 = 2,607,552/x
  3. Step 3: Cross multiply
    1,683,216x = 2,607,552 × 2,607,552
  4. Step 4: Simplify right side
    1,683,216x = 6,799,327,432,704
  5. Step 5: Solve for x
    x = 6,799,327,432,704/1,683,216
  6. Step 6: Final answer
    x = 4,039,485.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.