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Finding the Third Proportional to 478,419 and 1,030,566

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Solution

The third proportional to 478,419 and 1,030,566 is: 2,219,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,419 : 1,030,566 = 1,030,566 : x
  2. Step 2: Convert to fraction form
    478,419/1,030,566 = 1,030,566/x
  3. Step 3: Cross multiply
    478,419x = 1,030,566 × 1,030,566
  4. Step 4: Simplify right side
    478,419x = 1,062,066,280,356
  5. Step 5: Solve for x
    x = 1,062,066,280,356/478,419
  6. Step 6: Final answer
    x = 2,219,950.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.