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Finding the Third Proportional to 794,365 and 1,702,445

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Solution

The third proportional to 794,365 and 1,702,445 is: 3,648,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,365 : 1,702,445 = 1,702,445 : x
  2. Step 2: Convert to fraction form
    794,365/1,702,445 = 1,702,445/x
  3. Step 3: Cross multiply
    794,365x = 1,702,445 × 1,702,445
  4. Step 4: Simplify right side
    794,365x = 2,898,318,978,025
  5. Step 5: Solve for x
    x = 2,898,318,978,025/794,365
  6. Step 6: Final answer
    x = 3,648,598.54

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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.