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Finding the Third Proportional to 1,402,707 and 2,005,726.50

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Solution

The third proportional to 1,402,707 and 2,005,726.50 is: 2,867,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,707 : 2,005,726.50 = 2,005,726.50 : x
  2. Step 2: Convert to fraction form
    1,402,707/2,005,726.50 = 2,005,726.50/x
  3. Step 3: Cross multiply
    1,402,707x = 2,005,726.50 × 2,005,726.50
  4. Step 4: Simplify right side
    1,402,707x = 4,022,938,792,802.25
  5. Step 5: Solve for x
    x = 4,022,938,792,802.25/1,402,707
  6. Step 6: Final answer
    x = 2,867,982.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.