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Finding the Third Proportional to 1,186,407 and 2,559,438

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Solution

The third proportional to 1,186,407 and 2,559,438 is: 5,521,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,407 : 2,559,438 = 2,559,438 : x
  2. Step 2: Convert to fraction form
    1,186,407/2,559,438 = 2,559,438/x
  3. Step 3: Cross multiply
    1,186,407x = 2,559,438 × 2,559,438
  4. Step 4: Simplify right side
    1,186,407x = 6,550,722,875,844
  5. Step 5: Solve for x
    x = 6,550,722,875,844/1,186,407
  6. Step 6: Final answer
    x = 5,521,480.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.