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Finding the Third Proportional to 838,088 and 1,297,443

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Solution

The third proportional to 838,088 and 1,297,443 is: 2,008,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,088 : 1,297,443 = 1,297,443 : x
  2. Step 2: Convert to fraction form
    838,088/1,297,443 = 1,297,443/x
  3. Step 3: Cross multiply
    838,088x = 1,297,443 × 1,297,443
  4. Step 4: Simplify right side
    838,088x = 1,683,358,338,249
  5. Step 5: Solve for x
    x = 1,683,358,338,249/838,088
  6. Step 6: Final answer
    x = 2,008,569.91

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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.