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Finding the Third Proportional to 794,358 and 1,702,431

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Solution

The third proportional to 794,358 and 1,702,431 is: 3,648,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,358 : 1,702,431 = 1,702,431 : x
  2. Step 2: Convert to fraction form
    794,358/1,702,431 = 1,702,431/x
  3. Step 3: Cross multiply
    794,358x = 1,702,431 × 1,702,431
  4. Step 4: Simplify right side
    794,358x = 2,898,271,309,761
  5. Step 5: Solve for x
    x = 2,898,271,309,761/794,358
  6. Step 6: Final answer
    x = 3,648,570.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.