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Finding the Third Proportional to 445,392 and 912,648

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Solution

The third proportional to 445,392 and 912,648 is: 1,870,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,392 : 912,648 = 912,648 : x
  2. Step 2: Convert to fraction form
    445,392/912,648 = 912,648/x
  3. Step 3: Cross multiply
    445,392x = 912,648 × 912,648
  4. Step 4: Simplify right side
    445,392x = 832,926,371,904
  5. Step 5: Solve for x
    x = 832,926,371,904/445,392
  6. Step 6: Final answer
    x = 1,870,097.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.