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Finding the Third Proportional to 1,097,056 and 1,657,280

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Solution

The third proportional to 1,097,056 and 1,657,280 is: 2,503,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,056 : 1,657,280 = 1,657,280 : x
  2. Step 2: Convert to fraction form
    1,097,056/1,657,280 = 1,657,280/x
  3. Step 3: Cross multiply
    1,097,056x = 1,657,280 × 1,657,280
  4. Step 4: Simplify right side
    1,097,056x = 2,746,576,998,400
  5. Step 5: Solve for x
    x = 2,746,576,998,400/1,097,056
  6. Step 6: Final answer
    x = 2,503,588.69

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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.