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Finding the Third Proportional to 525,766 and 1,148,828

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Solution

The third proportional to 525,766 and 1,148,828 is: 2,510,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,766 : 1,148,828 = 1,148,828 : x
  2. Step 2: Convert to fraction form
    525,766/1,148,828 = 1,148,828/x
  3. Step 3: Cross multiply
    525,766x = 1,148,828 × 1,148,828
  4. Step 4: Simplify right side
    525,766x = 1,319,805,773,584
  5. Step 5: Solve for x
    x = 1,319,805,773,584/525,766
  6. Step 6: Final answer
    x = 2,510,253.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.