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Finding the Third Proportional to 702,164 and 1,059,430

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Solution

The third proportional to 702,164 and 1,059,430 is: 1,598,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,164 : 1,059,430 = 1,059,430 : x
  2. Step 2: Convert to fraction form
    702,164/1,059,430 = 1,059,430/x
  3. Step 3: Cross multiply
    702,164x = 1,059,430 × 1,059,430
  4. Step 4: Simplify right side
    702,164x = 1,122,391,924,900
  5. Step 5: Solve for x
    x = 1,122,391,924,900/702,164
  6. Step 6: Final answer
    x = 1,598,475.46

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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.