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Finding the Third Proportional to 425,894 and 931,276

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Solution

The third proportional to 425,894 and 931,276 is: 2,036,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,894 : 931,276 = 931,276 : x
  2. Step 2: Convert to fraction form
    425,894/931,276 = 931,276/x
  3. Step 3: Cross multiply
    425,894x = 931,276 × 931,276
  4. Step 4: Simplify right side
    425,894x = 867,274,988,176
  5. Step 5: Solve for x
    x = 867,274,988,176/425,894
  6. Step 6: Final answer
    x = 2,036,363.48

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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.