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Finding the Third Proportional to 910,936 and 1,297,646

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Solution

The third proportional to 910,936 and 1,297,646 is: 1,848,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,936 : 1,297,646 = 1,297,646 : x
  2. Step 2: Convert to fraction form
    910,936/1,297,646 = 1,297,646/x
  3. Step 3: Cross multiply
    910,936x = 1,297,646 × 1,297,646
  4. Step 4: Simplify right side
    910,936x = 1,683,885,141,316
  5. Step 5: Solve for x
    x = 1,683,885,141,316/910,936
  6. Step 6: Final answer
    x = 1,848,521.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.