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Finding the Third Proportional to 1,308,586 and 1,969,432

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Solution

The third proportional to 1,308,586 and 1,969,432 is: 2,964,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,586 : 1,969,432 = 1,969,432 : x
  2. Step 2: Convert to fraction form
    1,308,586/1,969,432 = 1,969,432/x
  3. Step 3: Cross multiply
    1,308,586x = 1,969,432 × 1,969,432
  4. Step 4: Simplify right side
    1,308,586x = 3,878,662,402,624
  5. Step 5: Solve for x
    x = 3,878,662,402,624/1,308,586
  6. Step 6: Final answer
    x = 2,964,010.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.