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Finding the Third Proportional to 698,792 and 1,054,833

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Solution

The third proportional to 698,792 and 1,054,833 is: 1,592,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,792 : 1,054,833 = 1,054,833 : x
  2. Step 2: Convert to fraction form
    698,792/1,054,833 = 1,054,833/x
  3. Step 3: Cross multiply
    698,792x = 1,054,833 × 1,054,833
  4. Step 4: Simplify right side
    698,792x = 1,112,672,657,889
  5. Step 5: Solve for x
    x = 1,112,672,657,889/698,792
  6. Step 6: Final answer
    x = 1,592,280.19

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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.