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Finding the Third Proportional to 1,746,415 and 3,758,407

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Solution

The third proportional to 1,746,415 and 3,758,407 is: 8,088,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,415 : 3,758,407 = 3,758,407 : x
  2. Step 2: Convert to fraction form
    1,746,415/3,758,407 = 3,758,407/x
  3. Step 3: Cross multiply
    1,746,415x = 3,758,407 × 3,758,407
  4. Step 4: Simplify right side
    1,746,415x = 14,125,623,177,649
  5. Step 5: Solve for x
    x = 14,125,623,177,649/1,746,415
  6. Step 6: Final answer
    x = 8,088,354.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.