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Finding the Third Proportional to 968,358 and 1,976,082

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Solution

The third proportional to 968,358 and 1,976,082 is: 4,032,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,358 : 1,976,082 = 1,976,082 : x
  2. Step 2: Convert to fraction form
    968,358/1,976,082 = 1,976,082/x
  3. Step 3: Cross multiply
    968,358x = 1,976,082 × 1,976,082
  4. Step 4: Simplify right side
    968,358x = 3,904,900,070,724
  5. Step 5: Solve for x
    x = 3,904,900,070,724/968,358
  6. Step 6: Final answer
    x = 4,032,496.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.