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Finding the Third Proportional to 782,460 and 1,714,365

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Solution

The third proportional to 782,460 and 1,714,365 is: 3,756,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,460 : 1,714,365 = 1,714,365 : x
  2. Step 2: Convert to fraction form
    782,460/1,714,365 = 1,714,365/x
  3. Step 3: Cross multiply
    782,460x = 1,714,365 × 1,714,365
  4. Step 4: Simplify right side
    782,460x = 2,939,047,353,225
  5. Step 5: Solve for x
    x = 2,939,047,353,225/782,460
  6. Step 6: Final answer
    x = 3,756,163.07

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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.