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Finding the Third Proportional to 910,938 and 1,297,649

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Solution

The third proportional to 910,938 and 1,297,649 is: 1,848,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,938 : 1,297,649 = 1,297,649 : x
  2. Step 2: Convert to fraction form
    910,938/1,297,649 = 1,297,649/x
  3. Step 3: Cross multiply
    910,938x = 1,297,649 × 1,297,649
  4. Step 4: Simplify right side
    910,938x = 1,683,892,927,201
  5. Step 5: Solve for x
    x = 1,683,892,927,201/910,938
  6. Step 6: Final answer
    x = 1,848,526.38

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Why These Related Problems?

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