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Finding the Third Proportional to 777,501 and 1,160,253

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Solution

The third proportional to 777,501 and 1,160,253 is: 1,731,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,501 : 1,160,253 = 1,160,253 : x
  2. Step 2: Convert to fraction form
    777,501/1,160,253 = 1,160,253/x
  3. Step 3: Cross multiply
    777,501x = 1,160,253 × 1,160,253
  4. Step 4: Simplify right side
    777,501x = 1,346,187,024,009
  5. Step 5: Solve for x
    x = 1,346,187,024,009/777,501
  6. Step 6: Final answer
    x = 1,731,428.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.