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Finding the Third Proportional to 857,681 and 1,826,290

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Solution

The third proportional to 857,681 and 1,826,290 is: 3,888,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,681 : 1,826,290 = 1,826,290 : x
  2. Step 2: Convert to fraction form
    857,681/1,826,290 = 1,826,290/x
  3. Step 3: Cross multiply
    857,681x = 1,826,290 × 1,826,290
  4. Step 4: Simplify right side
    857,681x = 3,335,335,164,100
  5. Step 5: Solve for x
    x = 3,335,335,164,100/857,681
  6. Step 6: Final answer
    x = 3,888,782.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.