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Finding the Third Proportional to 1,097,515 and 1,638,010

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Solution

The third proportional to 1,097,515 and 1,638,010 is: 2,444,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,515 : 1,638,010 = 1,638,010 : x
  2. Step 2: Convert to fraction form
    1,097,515/1,638,010 = 1,638,010/x
  3. Step 3: Cross multiply
    1,097,515x = 1,638,010 × 1,638,010
  4. Step 4: Simplify right side
    1,097,515x = 2,683,076,760,100
  5. Step 5: Solve for x
    x = 2,683,076,760,100/1,097,515
  6. Step 6: Final answer
    x = 2,444,683.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.