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Finding the Third Proportional to 702,057 and 1,656,720

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Solution

The third proportional to 702,057 and 1,656,720 is: 3,909,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,057 : 1,656,720 = 1,656,720 : x
  2. Step 2: Convert to fraction form
    702,057/1,656,720 = 1,656,720/x
  3. Step 3: Cross multiply
    702,057x = 1,656,720 × 1,656,720
  4. Step 4: Simplify right side
    702,057x = 2,744,721,158,400
  5. Step 5: Solve for x
    x = 2,744,721,158,400/702,057
  6. Step 6: Final answer
    x = 3,909,541.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.