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Finding the Third Proportional to 702,035 and 1,369,078

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Solution

The third proportional to 702,035 and 1,369,078 is: 2,669,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,035 : 1,369,078 = 1,369,078 : x
  2. Step 2: Convert to fraction form
    702,035/1,369,078 = 1,369,078/x
  3. Step 3: Cross multiply
    702,035x = 1,369,078 × 1,369,078
  4. Step 4: Simplify right side
    702,035x = 1,874,374,570,084
  5. Step 5: Solve for x
    x = 1,874,374,570,084/702,035
  6. Step 6: Final answer
    x = 2,669,916.13

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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.