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Finding the Third Proportional to 465,142 and 1,004,636

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Solution

The third proportional to 465,142 and 1,004,636 is: 2,169,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,142 : 1,004,636 = 1,004,636 : x
  2. Step 2: Convert to fraction form
    465,142/1,004,636 = 1,004,636/x
  3. Step 3: Cross multiply
    465,142x = 1,004,636 × 1,004,636
  4. Step 4: Simplify right side
    465,142x = 1,009,293,492,496
  5. Step 5: Solve for x
    x = 1,009,293,492,496/465,142
  6. Step 6: Final answer
    x = 2,169,861.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.