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Finding the Third Proportional to 974,729 and 2,027,461

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Solution

The third proportional to 974,729 and 2,027,461 is: 4,217,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,729 : 2,027,461 = 2,027,461 : x
  2. Step 2: Convert to fraction form
    974,729/2,027,461 = 2,027,461/x
  3. Step 3: Cross multiply
    974,729x = 2,027,461 × 2,027,461
  4. Step 4: Simplify right side
    974,729x = 4,110,598,106,521
  5. Step 5: Solve for x
    x = 4,110,598,106,521/974,729
  6. Step 6: Final answer
    x = 4,217,170.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.