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Finding the Third Proportional to 684,042 and 1,496,640

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Solution

The third proportional to 684,042 and 1,496,640 is: 3,274,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,042 : 1,496,640 = 1,496,640 : x
  2. Step 2: Convert to fraction form
    684,042/1,496,640 = 1,496,640/x
  3. Step 3: Cross multiply
    684,042x = 1,496,640 × 1,496,640
  4. Step 4: Simplify right side
    684,042x = 2,239,931,289,600
  5. Step 5: Solve for x
    x = 2,239,931,289,600/684,042
  6. Step 6: Final answer
    x = 3,274,552.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.