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Finding the Third Proportional to 702,036 and 1,369,080

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Solution

The third proportional to 702,036 and 1,369,080 is: 2,669,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,036 : 1,369,080 = 1,369,080 : x
  2. Step 2: Convert to fraction form
    702,036/1,369,080 = 1,369,080/x
  3. Step 3: Cross multiply
    702,036x = 1,369,080 × 1,369,080
  4. Step 4: Simplify right side
    702,036x = 1,874,380,046,400
  5. Step 5: Solve for x
    x = 1,874,380,046,400/702,036
  6. Step 6: Final answer
    x = 2,669,920.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.