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Finding the Third Proportional to 974,781 and 1,711,503

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Solution

The third proportional to 974,781 and 1,711,503 is: 3,005,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,781 : 1,711,503 = 1,711,503 : x
  2. Step 2: Convert to fraction form
    974,781/1,711,503 = 1,711,503/x
  3. Step 3: Cross multiply
    974,781x = 1,711,503 × 1,711,503
  4. Step 4: Simplify right side
    974,781x = 2,929,242,519,009
  5. Step 5: Solve for x
    x = 2,929,242,519,009/974,781
  6. Step 6: Final answer
    x = 3,005,026.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.