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Finding the Third Proportional to 459,927 and 1,005,354

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Solution

The third proportional to 459,927 and 1,005,354 is: 2,197,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,927 : 1,005,354 = 1,005,354 : x
  2. Step 2: Convert to fraction form
    459,927/1,005,354 = 1,005,354/x
  3. Step 3: Cross multiply
    459,927x = 1,005,354 × 1,005,354
  4. Step 4: Simplify right side
    459,927x = 1,010,736,665,316
  5. Step 5: Solve for x
    x = 1,010,736,665,316/459,927
  6. Step 6: Final answer
    x = 2,197,602.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.