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Finding the Third Proportional to 614,936 and 1,348,334

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Solution

The third proportional to 614,936 and 1,348,334 is: 2,956,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,936 : 1,348,334 = 1,348,334 : x
  2. Step 2: Convert to fraction form
    614,936/1,348,334 = 1,348,334/x
  3. Step 3: Cross multiply
    614,936x = 1,348,334 × 1,348,334
  4. Step 4: Simplify right side
    614,936x = 1,818,004,575,556
  5. Step 5: Solve for x
    x = 1,818,004,575,556/614,936
  6. Step 6: Final answer
    x = 2,956,412.66

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Why These Related Problems?

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