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Finding the Third Proportional to 828,470 and 1,774,972

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Solution

The third proportional to 828,470 and 1,774,972 is: 3,802,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,470 : 1,774,972 = 1,774,972 : x
  2. Step 2: Convert to fraction form
    828,470/1,774,972 = 1,774,972/x
  3. Step 3: Cross multiply
    828,470x = 1,774,972 × 1,774,972
  4. Step 4: Simplify right side
    828,470x = 3,150,525,600,784
  5. Step 5: Solve for x
    x = 3,150,525,600,784/828,470
  6. Step 6: Final answer
    x = 3,802,824.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.