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Finding the Third Proportional to 702,038 and 1,369,084

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Solution

The third proportional to 702,038 and 1,369,084 is: 2,669,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,038 : 1,369,084 = 1,369,084 : x
  2. Step 2: Convert to fraction form
    702,038/1,369,084 = 1,369,084/x
  3. Step 3: Cross multiply
    702,038x = 1,369,084 × 1,369,084
  4. Step 4: Simplify right side
    702,038x = 1,874,390,999,056
  5. Step 5: Solve for x
    x = 1,874,390,999,056/702,038
  6. Step 6: Final answer
    x = 2,669,928.12

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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.