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Finding the Third Proportional to 698,896 and 1,047,246

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Solution

The third proportional to 698,896 and 1,047,246 is: 1,569,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,896 : 1,047,246 = 1,047,246 : x
  2. Step 2: Convert to fraction form
    698,896/1,047,246 = 1,047,246/x
  3. Step 3: Cross multiply
    698,896x = 1,047,246 × 1,047,246
  4. Step 4: Simplify right side
    698,896x = 1,096,724,184,516
  5. Step 5: Solve for x
    x = 1,096,724,184,516/698,896
  6. Step 6: Final answer
    x = 1,569,223.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.