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Finding the Third Proportional to 475,119 and 1,024,502

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Solution

The third proportional to 475,119 and 1,024,502 is: 2,209,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,119 : 1,024,502 = 1,024,502 : x
  2. Step 2: Convert to fraction form
    475,119/1,024,502 = 1,024,502/x
  3. Step 3: Cross multiply
    475,119x = 1,024,502 × 1,024,502
  4. Step 4: Simplify right side
    475,119x = 1,049,604,348,004
  5. Step 5: Solve for x
    x = 1,049,604,348,004/475,119
  6. Step 6: Final answer
    x = 2,209,139.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.