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Finding the Third Proportional to 415,566 and 896,010.75

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Solution

The third proportional to 415,566 and 896,010.75 is: 1,931,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,566 : 896,010.75 = 896,010.75 : x
  2. Step 2: Convert to fraction form
    415,566/896,010.75 = 896,010.75/x
  3. Step 3: Cross multiply
    415,566x = 896,010.75 × 896,010.75
  4. Step 4: Simplify right side
    415,566x = 802,835,264,115.56
  5. Step 5: Solve for x
    x = 802,835,264,115.56/415,566
  6. Step 6: Final answer
    x = 1,931,907.96

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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.