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Finding the Third Proportional to 698,076 and 1,120,007

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Solution

The third proportional to 698,076 and 1,120,007 is: 1,796,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,076 : 1,120,007 = 1,120,007 : x
  2. Step 2: Convert to fraction form
    698,076/1,120,007 = 1,120,007/x
  3. Step 3: Cross multiply
    698,076x = 1,120,007 × 1,120,007
  4. Step 4: Simplify right side
    698,076x = 1,254,415,680,049
  5. Step 5: Solve for x
    x = 1,254,415,680,049/698,076
  6. Step 6: Final answer
    x = 1,796,961.48

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.