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Finding the Third Proportional to 459,432 and 1,009,392

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Solution

The third proportional to 459,432 and 1,009,392 is: 2,217,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432 : 1,009,392 = 1,009,392 : x
  2. Step 2: Convert to fraction form
    459,432/1,009,392 = 1,009,392/x
  3. Step 3: Cross multiply
    459,432x = 1,009,392 × 1,009,392
  4. Step 4: Simplify right side
    459,432x = 1,018,872,209,664
  5. Step 5: Solve for x
    x = 1,018,872,209,664/459,432
  6. Step 6: Final answer
    x = 2,217,677.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.