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Finding the Third Proportional to 1,186,640 and 2,457,388

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Solution

The third proportional to 1,186,640 and 2,457,388 is: 5,088,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,640 : 2,457,388 = 2,457,388 : x
  2. Step 2: Convert to fraction form
    1,186,640/2,457,388 = 2,457,388/x
  3. Step 3: Cross multiply
    1,186,640x = 2,457,388 × 2,457,388
  4. Step 4: Simplify right side
    1,186,640x = 6,038,755,782,544
  5. Step 5: Solve for x
    x = 6,038,755,782,544/1,186,640
  6. Step 6: Final answer
    x = 5,088,953.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.