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Finding the Third Proportional to 1,097,442 and 1,688,962

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Solution

The third proportional to 1,097,442 and 1,688,962 is: 2,599,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,442 : 1,688,962 = 1,688,962 : x
  2. Step 2: Convert to fraction form
    1,097,442/1,688,962 = 1,688,962/x
  3. Step 3: Cross multiply
    1,097,442x = 1,688,962 × 1,688,962
  4. Step 4: Simplify right side
    1,097,442x = 2,852,592,637,444
  5. Step 5: Solve for x
    x = 2,852,592,637,444/1,097,442
  6. Step 6: Final answer
    x = 2,599,310.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.