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Finding the Third Proportional to 488,004 and 1,006,140

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Solution

The third proportional to 488,004 and 1,006,140 is: 2,074,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,004 : 1,006,140 = 1,006,140 : x
  2. Step 2: Convert to fraction form
    488,004/1,006,140 = 1,006,140/x
  3. Step 3: Cross multiply
    488,004x = 1,006,140 × 1,006,140
  4. Step 4: Simplify right side
    488,004x = 1,012,317,699,600
  5. Step 5: Solve for x
    x = 1,012,317,699,600/488,004
  6. Step 6: Final answer
    x = 2,074,404.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.