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Finding the Third Proportional to 705,881 and 1,065,403

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Solution

The third proportional to 705,881 and 1,065,403 is: 1,608,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,881 : 1,065,403 = 1,065,403 : x
  2. Step 2: Convert to fraction form
    705,881/1,065,403 = 1,065,403/x
  3. Step 3: Cross multiply
    705,881x = 1,065,403 × 1,065,403
  4. Step 4: Simplify right side
    705,881x = 1,135,083,552,409
  5. Step 5: Solve for x
    x = 1,135,083,552,409/705,881
  6. Step 6: Final answer
    x = 1,608,038.11

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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.