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Finding the Third Proportional to 910,952 and 1,297,671

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Solution

The third proportional to 910,952 and 1,297,671 is: 1,848,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,952 : 1,297,671 = 1,297,671 : x
  2. Step 2: Convert to fraction form
    910,952/1,297,671 = 1,297,671/x
  3. Step 3: Cross multiply
    910,952x = 1,297,671 × 1,297,671
  4. Step 4: Simplify right side
    910,952x = 1,683,950,024,241
  5. Step 5: Solve for x
    x = 1,683,950,024,241/910,952
  6. Step 6: Final answer
    x = 1,848,560.65

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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.