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Finding the Third Proportional to 572,184 and 1,220,346

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Solution

The third proportional to 572,184 and 1,220,346 is: 2,602,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,184 : 1,220,346 = 1,220,346 : x
  2. Step 2: Convert to fraction form
    572,184/1,220,346 = 1,220,346/x
  3. Step 3: Cross multiply
    572,184x = 1,220,346 × 1,220,346
  4. Step 4: Simplify right side
    572,184x = 1,489,244,359,716
  5. Step 5: Solve for x
    x = 1,489,244,359,716/572,184
  6. Step 6: Final answer
    x = 2,602,736.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.