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Finding the Third Proportional to 478,140 and 1,030,050

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Solution

The third proportional to 478,140 and 1,030,050 is: 2,219,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,140 : 1,030,050 = 1,030,050 : x
  2. Step 2: Convert to fraction form
    478,140/1,030,050 = 1,030,050/x
  3. Step 3: Cross multiply
    478,140x = 1,030,050 × 1,030,050
  4. Step 4: Simplify right side
    478,140x = 1,061,003,002,500
  5. Step 5: Solve for x
    x = 1,061,003,002,500/478,140
  6. Step 6: Final answer
    x = 2,219,021.63

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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.