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Finding the Third Proportional to 560,521 and 1,230,050

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Solution

The third proportional to 560,521 and 1,230,050 is: 2,699,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,521 : 1,230,050 = 1,230,050 : x
  2. Step 2: Convert to fraction form
    560,521/1,230,050 = 1,230,050/x
  3. Step 3: Cross multiply
    560,521x = 1,230,050 × 1,230,050
  4. Step 4: Simplify right side
    560,521x = 1,513,023,002,500
  5. Step 5: Solve for x
    x = 1,513,023,002,500/560,521
  6. Step 6: Final answer
    x = 2,699,315.46

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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.