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Finding the Third Proportional to 931,537 and 1,406,161

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Solution

The third proportional to 931,537 and 1,406,161 is: 2,122,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,537 : 1,406,161 = 1,406,161 : x
  2. Step 2: Convert to fraction form
    931,537/1,406,161 = 1,406,161/x
  3. Step 3: Cross multiply
    931,537x = 1,406,161 × 1,406,161
  4. Step 4: Simplify right side
    931,537x = 1,977,288,757,921
  5. Step 5: Solve for x
    x = 1,977,288,757,921/931,537
  6. Step 6: Final answer
    x = 2,122,608.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.