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Finding the Third Proportional to 622,802.67 and 1,016,970.19

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Solution

The third proportional to 622,802.67 and 1,016,970.19 is: 1,660,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,802.67 : 1,016,970.19 = 1,016,970.19 : x
  2. Step 2: Convert to fraction form
    622,802.67/1,016,970.19 = 1,016,970.19/x
  3. Step 3: Cross multiply
    622,802.67x = 1,016,970.19 × 1,016,970.19
  4. Step 4: Simplify right side
    622,802.67x = 1,034,228,362,263.79
  5. Step 5: Solve for x
    x = 1,034,228,362,263.79/622,802.67
  6. Step 6: Final answer
    x = 1,660,603.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.