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Finding the Third Proportional to 623,403 and 1,346,451

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Solution

The third proportional to 623,403 and 1,346,451 is: 2,908,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,403 : 1,346,451 = 1,346,451 : x
  2. Step 2: Convert to fraction form
    623,403/1,346,451 = 1,346,451/x
  3. Step 3: Cross multiply
    623,403x = 1,346,451 × 1,346,451
  4. Step 4: Simplify right side
    623,403x = 1,812,930,295,401
  5. Step 5: Solve for x
    x = 1,812,930,295,401/623,403
  6. Step 6: Final answer
    x = 2,908,119.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.