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Finding the Third Proportional to 702,034 and 1,369,076

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Solution

The third proportional to 702,034 and 1,369,076 is: 2,669,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,034 : 1,369,076 = 1,369,076 : x
  2. Step 2: Convert to fraction form
    702,034/1,369,076 = 1,369,076/x
  3. Step 3: Cross multiply
    702,034x = 1,369,076 × 1,369,076
  4. Step 4: Simplify right side
    702,034x = 1,874,369,093,776
  5. Step 5: Solve for x
    x = 1,874,369,093,776/702,034
  6. Step 6: Final answer
    x = 2,669,912.13

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