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Finding the Third Proportional to 426,610 and 912,268

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Solution

The third proportional to 426,610 and 912,268 is: 1,950,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,610 : 912,268 = 912,268 : x
  2. Step 2: Convert to fraction form
    426,610/912,268 = 912,268/x
  3. Step 3: Cross multiply
    426,610x = 912,268 × 912,268
  4. Step 4: Simplify right side
    426,610x = 832,232,903,824
  5. Step 5: Solve for x
    x = 832,232,903,824/426,610
  6. Step 6: Final answer
    x = 1,950,804.96

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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.