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Finding the Third Proportional to 1,155,820 and 1,533,649

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Solution

The third proportional to 1,155,820 and 1,533,649 is: 2,034,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,820 : 1,533,649 = 1,533,649 : x
  2. Step 2: Convert to fraction form
    1,155,820/1,533,649 = 1,533,649/x
  3. Step 3: Cross multiply
    1,155,820x = 1,533,649 × 1,533,649
  4. Step 4: Simplify right side
    1,155,820x = 2,352,079,255,201
  5. Step 5: Solve for x
    x = 2,352,079,255,201/1,155,820
  6. Step 6: Final answer
    x = 2,034,987.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.