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Finding the Third Proportional to 560,060 and 860,826

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Solution

The third proportional to 560,060 and 860,826 is: 1,323,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,060 : 860,826 = 860,826 : x
  2. Step 2: Convert to fraction form
    560,060/860,826 = 860,826/x
  3. Step 3: Cross multiply
    560,060x = 860,826 × 860,826
  4. Step 4: Simplify right side
    560,060x = 741,021,402,276
  5. Step 5: Solve for x
    x = 741,021,402,276/560,060
  6. Step 6: Final answer
    x = 1,323,110.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.