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Finding the Third Proportional to 525,411 and 1,155,798

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Solution

The third proportional to 525,411 and 1,155,798 is: 2,542,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,411 : 1,155,798 = 1,155,798 : x
  2. Step 2: Convert to fraction form
    525,411/1,155,798 = 1,155,798/x
  3. Step 3: Cross multiply
    525,411x = 1,155,798 × 1,155,798
  4. Step 4: Simplify right side
    525,411x = 1,335,869,016,804
  5. Step 5: Solve for x
    x = 1,335,869,016,804/525,411
  6. Step 6: Final answer
    x = 2,542,521.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.