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Finding the Third Proportional to 1,642,912 and 3,528,688

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Solution

The third proportional to 1,642,912 and 3,528,688 is: 7,579,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,912 : 3,528,688 = 3,528,688 : x
  2. Step 2: Convert to fraction form
    1,642,912/3,528,688 = 3,528,688/x
  3. Step 3: Cross multiply
    1,642,912x = 3,528,688 × 3,528,688
  4. Step 4: Simplify right side
    1,642,912x = 12,451,639,001,344
  5. Step 5: Solve for x
    x = 12,451,639,001,344/1,642,912
  6. Step 6: Final answer
    x = 7,579,005.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.