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Finding the Third Proportional to 1,022,624 and 1,604,280

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Solution

The third proportional to 1,022,624 and 1,604,280 is: 2,516,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,624 : 1,604,280 = 1,604,280 : x
  2. Step 2: Convert to fraction form
    1,022,624/1,604,280 = 1,604,280/x
  3. Step 3: Cross multiply
    1,022,624x = 1,604,280 × 1,604,280
  4. Step 4: Simplify right side
    1,022,624x = 2,573,714,318,400
  5. Step 5: Solve for x
    x = 2,573,714,318,400/1,022,624
  6. Step 6: Final answer
    x = 2,516,774.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.