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Finding the Third Proportional to 985,311 and 2,154,654

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Solution

The third proportional to 985,311 and 2,154,654 is: 4,711,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,311 : 2,154,654 = 2,154,654 : x
  2. Step 2: Convert to fraction form
    985,311/2,154,654 = 2,154,654/x
  3. Step 3: Cross multiply
    985,311x = 2,154,654 × 2,154,654
  4. Step 4: Simplify right side
    985,311x = 4,642,533,859,716
  5. Step 5: Solve for x
    x = 4,642,533,859,716/985,311
  6. Step 6: Final answer
    x = 4,711,744.68

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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.