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Finding the Third Proportional to 426,490 and 912,036

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Solution

The third proportional to 426,490 and 912,036 is: 1,950,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,490 : 912,036 = 912,036 : x
  2. Step 2: Convert to fraction form
    426,490/912,036 = 912,036/x
  3. Step 3: Cross multiply
    426,490x = 912,036 × 912,036
  4. Step 4: Simplify right side
    426,490x = 831,809,665,296
  5. Step 5: Solve for x
    x = 831,809,665,296/426,490
  6. Step 6: Final answer
    x = 1,950,361.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.