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Finding the Third Proportional to 857,784 and 1,833,364

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Solution

The third proportional to 857,784 and 1,833,364 is: 3,918,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,784 : 1,833,364 = 1,833,364 : x
  2. Step 2: Convert to fraction form
    857,784/1,833,364 = 1,833,364/x
  3. Step 3: Cross multiply
    857,784x = 1,833,364 × 1,833,364
  4. Step 4: Simplify right side
    857,784x = 3,361,223,556,496
  5. Step 5: Solve for x
    x = 3,361,223,556,496/857,784
  6. Step 6: Final answer
    x = 3,918,496.45

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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.