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Finding the Third Proportional to 1,767,343 and 2,702,415

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Solution

The third proportional to 1,767,343 and 2,702,415 is: 4,132,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,343 : 2,702,415 = 2,702,415 : x
  2. Step 2: Convert to fraction form
    1,767,343/2,702,415 = 2,702,415/x
  3. Step 3: Cross multiply
    1,767,343x = 2,702,415 × 2,702,415
  4. Step 4: Simplify right side
    1,767,343x = 7,303,046,832,225
  5. Step 5: Solve for x
    x = 7,303,046,832,225/1,767,343
  6. Step 6: Final answer
    x = 4,132,218.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.