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Finding the Third Proportional to 763,263 and 1,642,437

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Solution

The third proportional to 763,263 and 1,642,437 is: 3,534,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,263 : 1,642,437 = 1,642,437 : x
  2. Step 2: Convert to fraction form
    763,263/1,642,437 = 1,642,437/x
  3. Step 3: Cross multiply
    763,263x = 1,642,437 × 1,642,437
  4. Step 4: Simplify right side
    763,263x = 2,697,599,298,969
  5. Step 5: Solve for x
    x = 2,697,599,298,969/763,263
  6. Step 6: Final answer
    x = 3,534,298.53

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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.