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Finding the Third Proportional to 588,636 and 1,271,358

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Solution

The third proportional to 588,636 and 1,271,358 is: 2,745,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,636 : 1,271,358 = 1,271,358 : x
  2. Step 2: Convert to fraction form
    588,636/1,271,358 = 1,271,358/x
  3. Step 3: Cross multiply
    588,636x = 1,271,358 × 1,271,358
  4. Step 4: Simplify right side
    588,636x = 1,616,351,164,164
  5. Step 5: Solve for x
    x = 1,616,351,164,164/588,636
  6. Step 6: Final answer
    x = 2,745,926.45

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