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Finding the Third Proportional to 707,402 and 1,534,431

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Solution

The third proportional to 707,402 and 1,534,431 is: 3,328,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,402 : 1,534,431 = 1,534,431 : x
  2. Step 2: Convert to fraction form
    707,402/1,534,431 = 1,534,431/x
  3. Step 3: Cross multiply
    707,402x = 1,534,431 × 1,534,431
  4. Step 4: Simplify right side
    707,402x = 2,354,478,493,761
  5. Step 5: Solve for x
    x = 2,354,478,493,761/707,402
  6. Step 6: Final answer
    x = 3,328,345.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.