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Finding the Third Proportional to 463,421 and 1,015,420

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Solution

The third proportional to 463,421 and 1,015,420 is: 2,224,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,421 : 1,015,420 = 1,015,420 : x
  2. Step 2: Convert to fraction form
    463,421/1,015,420 = 1,015,420/x
  3. Step 3: Cross multiply
    463,421x = 1,015,420 × 1,015,420
  4. Step 4: Simplify right side
    463,421x = 1,031,077,776,400
  5. Step 5: Solve for x
    x = 1,031,077,776,400/463,421
  6. Step 6: Final answer
    x = 2,224,926.74

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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.