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Finding the Third Proportional to 1,056,698 and 2,281,780

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Solution

The third proportional to 1,056,698 and 2,281,780 is: 4,927,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,698 : 2,281,780 = 2,281,780 : x
  2. Step 2: Convert to fraction form
    1,056,698/2,281,780 = 2,281,780/x
  3. Step 3: Cross multiply
    1,056,698x = 2,281,780 × 2,281,780
  4. Step 4: Simplify right side
    1,056,698x = 5,206,519,968,400
  5. Step 5: Solve for x
    x = 5,206,519,968,400/1,056,698
  6. Step 6: Final answer
    x = 4,927,159.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.