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Finding the Third Proportional to 825,461 and 1,234,396

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Solution

The third proportional to 825,461 and 1,234,396 is: 1,845,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,461 : 1,234,396 = 1,234,396 : x
  2. Step 2: Convert to fraction form
    825,461/1,234,396 = 1,234,396/x
  3. Step 3: Cross multiply
    825,461x = 1,234,396 × 1,234,396
  4. Step 4: Simplify right side
    825,461x = 1,523,733,484,816
  5. Step 5: Solve for x
    x = 1,523,733,484,816/825,461
  6. Step 6: Final answer
    x = 1,845,918.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.