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Finding the Third Proportional to 845,902 and 1,295,640

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Solution

The third proportional to 845,902 and 1,295,640 is: 1,984,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,902 : 1,295,640 = 1,295,640 : x
  2. Step 2: Convert to fraction form
    845,902/1,295,640 = 1,295,640/x
  3. Step 3: Cross multiply
    845,902x = 1,295,640 × 1,295,640
  4. Step 4: Simplify right side
    845,902x = 1,678,683,009,600
  5. Step 5: Solve for x
    x = 1,678,683,009,600/845,902
  6. Step 6: Final answer
    x = 1,984,488.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.