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Finding the Third Proportional to 1,205,820 and 1,866,260

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Solution

The third proportional to 1,205,820 and 1,866,260 is: 2,888,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,820 : 1,866,260 = 1,866,260 : x
  2. Step 2: Convert to fraction form
    1,205,820/1,866,260 = 1,866,260/x
  3. Step 3: Cross multiply
    1,205,820x = 1,866,260 × 1,866,260
  4. Step 4: Simplify right side
    1,205,820x = 3,482,926,387,600
  5. Step 5: Solve for x
    x = 3,482,926,387,600/1,205,820
  6. Step 6: Final answer
    x = 2,888,429.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.