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Finding the Third Proportional to 698,688 and 1,051,530

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Solution

The third proportional to 698,688 and 1,051,530 is: 1,582,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,688 : 1,051,530 = 1,051,530 : x
  2. Step 2: Convert to fraction form
    698,688/1,051,530 = 1,051,530/x
  3. Step 3: Cross multiply
    698,688x = 1,051,530 × 1,051,530
  4. Step 4: Simplify right side
    698,688x = 1,105,715,340,900
  5. Step 5: Solve for x
    x = 1,105,715,340,900/698,688
  6. Step 6: Final answer
    x = 1,582,559.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.