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Finding the Third Proportional to 492,972 and 1,009,308

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Solution

The third proportional to 492,972 and 1,009,308 is: 2,066,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,972 : 1,009,308 = 1,009,308 : x
  2. Step 2: Convert to fraction form
    492,972/1,009,308 = 1,009,308/x
  3. Step 3: Cross multiply
    492,972x = 1,009,308 × 1,009,308
  4. Step 4: Simplify right side
    492,972x = 1,018,702,638,864
  5. Step 5: Solve for x
    x = 1,018,702,638,864/492,972
  6. Step 6: Final answer
    x = 2,066,451.32

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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.